# Gary Weiss

## Professor

### French Hall

5508

A&S Mathematical Sciences - 0025

## Professional Summary

Publications: https://homepages.uc.edu/~weissg/

## Education

BS: City College of New York 1967

PhD: University of Michigan Ann Arbor, Michigan, 1975 (Dissertation: Commutators and Operator Ideals; Advisor: Allen L. Shields)

## Research and Practice Interests

Operator Theory, Operator Algebras, Harmonic Analysis and Applications

## Positions and Work Experience

1999 - Visiting Scholar, University of California-Berkeley,

1987 -To Present Professor, University of Cincinnati,

1982 - Visiting Associate Professor, University of Michigan,

1981 -1986 Associate Professor, University of Cincinnati,

1975 -1980 Assistant Professor, University of Cincinnati,

1974 -1975 Lecturer, University of Michigan,

1973 - Lecturer, Eastern Michigan University,

1967 -1973 Teaching Fellow, University of Michigan,

## Research Support

Grant: #636554 Investigators:Weiss, Gary 09-01-2019 -08-31-2024 Simons Foundation Operator theory characterization problems on commutators, operator diagonals & semigroups Role:PI $42,000.00 Awarded Level:Private Non-Profit

Investigators:Gary Weiss 03-09-2015 -03-14-2015 MSRI-Berkeley-Hot Topics Workshop Completed Type:Grant Level:International

Investigators:Gary Weiss 2014 Romanian Mathematics Institute IMAR Operator Theory Travel Grant Role:2 Plenary speaker Local expenses Completed Type:Grant

Grant: #Award No. 245014 Investigators:Weiss, Gary 09-01-2012 -08-31-2017 Simons Foundation Research Problems in Operator Theory Role:PI $35,000.00 Active

Investigators:Gary Weiss 07-13-2012 -08-04-2012 University of New South Wales Travel grant Role:PI 3000 AU approx Completed Type:Grant

Investigators:Gary Weiss 06-30-2012 -07-07-2012 Taft Research Center International Travel Grant Role:PI Completed Type:Grant

Investigators:Gary Weiss 01-01-2012 -01-08-2012 Taft Research Center International Travel Grant Role:PI Completed Type:Grant

2012 CIRM-International Center for Research Mathematics Singular Traces and their Applications Travel Grants Role:PI Completed Type:Grant

2011 SEAM27 Southeast Analysis Meeting Travel grant

2011 University of Goteborg Operator Theory and its Applications Travel Grant

2008 Taft IWOTA Intl conference-Travel Grant

Grant: #DMS-0649960 Investigators:Halpern, Herbert; Kaftal, Victor; Peligrad, Costel; Weiss, Gary; Zhang, Shuang 04-01-2007 -03-31-2009 National Science Foundation Collaborative Research: Operator Theory/Operator Algebras, GPOTS 07-08 Role:Collaborator $25,000.00 Closed Level:Federal

2007 Fields Institute-University of Toronto Travel Grant

2007 -2008 National Science Foundation Conference Grants

2007 -2008 MSRI Conference Grants

2007 Taft Release Faculty Fellowship

2007 Taft Summer Fellowship

2006 Taft Travel Grant

2006 AIM American Inst Math Kadison-Singer Research Workshop

2003 Taft Summer Fellowship

2001 University of Cincinnati Faculty Development Grant (joint with Taft)

2001 -2002 Taft Travel Grant

1997 -1999 University of Cincinnati Faculty Development Grant

1997 Taft Summer Fellowship

1997 Taft Travel Grant

1997 -1998 National Science Foundation Research Grant

1996 -1997 University of Cincinnati Faculty Development Grant

1995 Taft Summer Fellowship

1995 -1996 National Science Foundation Research Grant

1994 National Science Foundation International Congress Travel Grant

1993 National Science Foundation Equipment Grant

1993 Taft Summer Fellowship

1992 -1993 National Science Foundation Research Grant

1991 Taft Summer Fellowship

1990 -To Present Assorted Travel Grants: Fields Institute, AIM, U. Waterloo, U. Toronto, Texas A&M, Romania

1989 Taft Summer Fellowship

1987 Taft Summer Fellowship

1985 -1986 National Science Foundation Research Grant

1984 Taft Summer Fellowship

1982 Taft Summer Fellowship

1981 University Faculty Summer Fellowship

1979 -1980 National Science Foundation Research Grant

1979 University Faculty Summer Fellowships

1978 National Academy of Sciences International Congress Travel Grant

1977 -1978 National Science Foundation Research Grant

1977 Taft Summer Fellowship

1976 National Science Foundation Research Grant

## Abbreviated Publications

### Peer Reviewed Conference/Workshop Proceedings

Interplay of Simple and Selfadjoint-Ideal Semigroups in B(H): a survey, Sasmita Patnaik and Gary Weiss, invited survey, Operator Theory: Themes and Variations. Proceedings of the 27 International Conference on Operator Theory (refereed), Timişoara, Romania, 2020, to appear.

On diagonals of operators: selfadjoint, normal and other classes, Jireh Loreaux and Gary Weiss, invited survey, Operator Theory: Themes and Variations. Proceedings of the 27 International Conference on Operator Theory (refereed), Timişoara, Romania, 2020, to appear. Available at https://arxiv.org/pdf/1905.09987.pdf

J. Loreaux and G. Weiss,Traces on ideals and the commutator property.

Operator Theory: Themes and Variations. Proceedings of the 26 International Conference on Operator Theory, Timişoara, Romania, 2018, pp. 145–153. arXiv: 1712.06702 [math.FA]

D. Beltita, S. Patnaik and G. Weiss, B(H)-commutators: A historical survey II and recent advances on commutators of compact operators.

In: D. Gaspar, D. Timotin, F.-H. Vasilescu, and L. Zsidó (eds.),

The Varied Landscape of Operator Theory

(Conference Proceedings, Timisoara, July 2-7, 2012),

Theta, Bucharest, 2014, pp. 57-75.

Also available at http://arxiv.org/pdf/1303.4844.pdf

S. Patnaik and G. Weiss, A survey on subideals of operators and an introduction to subideal-traces. Birkhauser/Springer:

Operator Theory in Harmonic and Non‐commutative Analysis.

Operator Theory: Advances and Applications Volume 240, 2014, pp 221-234.

Also available at http://arxiv.org/pdf/1403.4917.pdf

Weiss, G., A brief survey on I. Infinite dimensional Schur-Horn theorems and infinite majorization theory with applications to operator ideals II. $B(H)$-subideals of operators.

Algebraic Methods in Functional Analysis, The Victor Shulman Anniversary Volume,

Operator Theory: Advances and Applications, Vol. 233 (2014), Birkhauser, 281-294.

Also available at https://math.uc.edu/~weiss/ShortSurvey_ShulmanProc81111.pdf

D. Beltita, S. Patnaik and G, Weiss,

Interplay between Algebraic Groups, Lie Algebras and Operator Ideals.

In: D. Gaspar, D. Timotin, F.-H. Vasilescu, and L. Zsidó (eds.),

The Varied Landscape of Operator Theory

(Conference Proceedings, Timisoara, July 2-7, 2012),

Theta, Bucharest, 2014, pp. 77-97.

Also available at http://arxiv.org/pdf/1303.4842.pdf

Schmidt, D., Weiss, G. and Zarikian, V., Paving Small Matrices and the Kadison-Singer Extension Problem II-computational results, Volume 54, Number 11 (2011), 2463-2472.

Preprint at http://math.uc.edu/~weiss/PavingII_SWZ_91710.pdf.

Weiss, G., A survey on the interplay between arithmetic mean ideals, traces, lattices of operator ideals, and an infinite Schur-Horn majorization theorem, with V. Kaftal. Hot topics in operator theory (2008), 101--135, Theta Ser. Adv. Math., 9, Theta, Bucharest.

Weiss, G. & Zarikian, V. (2006). Sharp 3-paving bounds for small matrices, plenary lecture notes: American Institute of Mathematics (AIM) Kadison-Singer Problem Workshop, OT21 Romania 2006, SUMIRFAS06-Texas A&M, GPOTS07-University of Nebraska-Wabash Annual Meeting 2005. Regular lectures: COSy06, COSy07.

Weiss, G. & Zarikian, V. (2006).

3-paving small matrices and the Kadison-Singer Extension Problem, AIM Workshop Notes 2006. http://www.aimath.org/WWN/kadisonsinger/KS91906.pdf. See AIM Workshop Assessment for a more complete impact statement of this at: http://www.aimath.org/pastworkshops/kadisonsingerrep.pdf

Berman, K., Halpern, H., Kaftal, V., & Weiss, G. (1990). Some C4 and C6 norm inequalities related to the paving problem, *Operator theory: operator algebras and applications, Part 2 (Durham, NH, 1988), *29--41, Proc. Sympos. Pure Math., 51, Part 2, *Amer. Math. Soc., Providence, RI.*

Weiss, G. (1980). An extension of the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to operators of the form ? MnXNn, Part I. *Proceedings of the Fourth Conference on Operator Theory* 105-131. Univ. Timi\csoara, Timi\csoara.

Weiss, G. (1980). Commutators of Hilbert-Schmidt operators and solutions to two problems of Pearcy and Topping, Part II. *Proceedings of the Fourth Conference on Operator Theory (Timi\c soara/Herculane, 1979)* 132-140. Univ. Timi\c soara, Timi\c soara.

### Peer Reviewed Publications

Interplay of Simple and Selfadjoint-Ideal Semigroups in B(H), Sasmita Patnaik and Gary Weiss, Operators and Matrices (OAM), 2020, to appear. Available at https://arxiv.org/pdf/1806.01272.pdf

Universal Block Tridiagonalization in B(H) and Beyond, Sasmita Patnaik, Srdjan Petrovic and Gary Weiss. The Mathematical Legacy of Victor Lomonosov, De Gruyter, Operator Theory series: Advances in Analysis and geometry, 2, (2020), Pages: 317-326. ** **Also available at https://arxiv.org/pdf/1905.00823.pdf

Thompson's Theorem for compact operators and diagonals of unitary operators, John Jasper, Jireh Loreaux and Gary Weiss, Indiana J. Math., Indiana Univ. Math. J. **67** (2018), 1-27.

Diagonality and idempotents with applications to problems in operator theory and frame theory, Jireh Loreaux and Gary Weiss, J. Operator Theory, 75:1(**2016**), 91–118. Also available at http://arxiv.org/pdf/1410.7441.pdf

Cartan subalgebras of operator ideals,Daniel Beltita,

Sasmita Patnaik and Gary Weiss, Indiana University Math J. **65** (**2016**), 1-37.

Also available at: http://arxiv.org/pdf/1408.4897.pdf.

On the similarity of AB and BA for normal and other matrices, Stephan Ramon Garcia, David Sherman and Gary Weiss, 508 (2016), 14-21.

An infinite dimensional Schur-Horn Theorem for positive compact operators with nonzero kernel, Jireh Loreaux and Gary Weiss, J. Functional Analysis, Volume 268, Issue 3, 1 February 2015, Pages 703–731. Preprint posted at http://arxiv.org/pdf/1403.4917.pdf

Patnaik, S. and Weiss, G., Subideals of operators, J. Operator Theory, 70:2(2013), 101-119. Preprint available at http://arxiv.org/pdf/1210.1438.pdf

Patnaik S. and Weiss G., Subideals of operators II,

J. Integral Equations and Operator Theory, December 2012, Volume 74, Issue 4, 587-600. 13 pages.

Preprint available at http://arxiv.org/pdf/1209.6323.pdf

Kaftal, V. and Weiss, G., B(H) lattices, density and arithmetic mean ideals, *Houston J. Math.,* Vol. 37, No. 1 (2011), 233--282. Preprint available at http://math.uc.edu/~weiss/IdealsLatticesDensity.pdf

Kaftal, V. and Weiss, G., Majorization and arithmetic mean ideals,* Indiana University Math J.*, 60(2011), 1393-1424.

Weiss, G. and Zarikian, V., Paving Small Matricesand the Kadison-Singer Extension Problem, *Operators and Matrices*, Vol. 4, no. 3 (2010), 301--352. Preprint available at http://math.uc.edu/~weiss/Paving_OAM_final.pdf.

Kaftal, V. and Weiss, G. (2010). An infinite dimensional Schur-Horn theorem and majorization theory, *J. Functional Analysis*, 259 (2010) 3115–3162. Preprint available at

http://math.uc.edu/~weiss/SCHUR-HORN_JFA_92110_Final.pdf

Kaftal, V. and Weiss. G., Traces on operator ideals and arithmetic means, *J. Operator Theory*, 63 Issue 1 (2010), 3-46. Preprint available at http://math.uc.edu/~weiss/kaftalweissJOT1747.pdf

Weiss, G., Second order arithmetic means and cancellation, with V. Kaftal, *Operators and Matrices* 1 No 2 (2007), 235-256.

Weiss, G., Soft ideals and arithmetic mean ideals, with V. Kaftal, *Int Equ Oper Theory* 58 (2007), 363-405.

Weiss, G., B(H)-commutators: A historical survey. *Recent advances in operator theory, operator algebras, and their applications *(2005)*, *307--320, Oper. Theory Adv. Appl., 153, *Birkhäuser, Basel*.

Weiss, G., B(H)-commutators: a historical survey. Recent advances in operator theory, operator algebras, and their applications. *Oper. Theory Adv. Appl.*, *153 *(2005), 307-320. Birkhäuser, Basel.

Dykema, K., Figiel, T., Weiss, G. and Wodzicki, M., Commutator structure of operator ideals. *Adv. Math.*, *185*(1) (2004), 1-79.

Weiss, G., Commutator structure of operator ideals, with K. Dykema, T. Figiel and M. Wodzicki, *Adv. Math.* **185**, no. 1 (2004), 1--79.

Weiss, G., Traces, ideals and arithmetic means, with V. Kaftal, *Proc. Natl. Acad. Sci. USA* **99**, no. 11 (2002), 7356--7360.

Kaftal, Victor, & Weiss, Gary, Traces, ideals, and arithmetic means. *Proceedings of the National Academy of Sciences of the United States of America*, *99*(11) (2002), 7356-60.

Weiss, G. (2000). Unitarily invariant trace extensions beyond the trace class, with K. Dykema and M. Wodzicki. *Complex analysis and related topics (Cuernavaca, 1996), *59--65, Oper. Theory Adv. Appl., 114, *Birkhäuser, Basel**.*

Weiss, G. (1997). Bounds for operator/Hilbert-Schmidt norm minimization using entropy, with M. Bakonyi, V. Kaftal, and H. Woerdeman. *Indiana Univ. Math. J.* **46**, no. 2, 405--425.

Bakonyi, M., Kaftal, V., Weiss, G., & Woerdeman, H. (1997). Bounds for operator/Hilbert-Schmidt norm minimization using entropy. *Indiana Univ. Math. J.*, *46*(2), 405-425.

Weiss, G. (1995). Norm bounds for operator extensions, with M. Bakonyi, V. Kaftal, and H. Woerdeman. *J. Math. Anal. Appl.* **194**, no. 2, 352--367.

Bakonyi, M., Kaftal, V., Weiss, G., & Woerdeman, H. (1995). Norm bounds for operator extensions. *J. Math. Anal. Appl.*, *194*(2), 352-367.

Bakonyi, M., Kaftal, V., Weiss, G., & Woerdeman, H. (1993). Maximum entropy and joint norm bounds for operator extensions. *Oper. Theory Adv. Appl.*, *64*.

Weiss, G. (1993). Maximum entropy and joint norm bounds for operator extensions, with M. Bakonyi, V. Kaftal, and H. Woerdeman. *New aspects in interpolation and completion theories, *23--32, Oper. Theory Adv. Appl., 64, *Birkhäuser, Basel.*

Weiss, G. (1992). Quasitriangular subalgebras of semifinite von Neumann algebras are closed, with V. Kaftal and D. Larson, *J. Funct. Anal.* **107**, no. 2, 387--401.

Kaftal, V., & Larson, D., & Weiss, G. (1992). Quasitriangular subalgebras of semifinite von Neumann algebras are closed. *J. Funct. Anal.*, *107*(2), 387-401.

Weiss, G. (1989). Classification of certain commutator ideals and the tensor product closure property. *Integral Equations Operator Theory*, *12*(1), 99-128.

Berman, K., Halpern, H., Kaftal, K., & Weiss, G. (1988). Matrix norm inequalities and the relative Dixmier property. *Integral Equations Operator Theory*, *11*(1), 28-48.

Weiss, G. (1986). Commutators of Hilbert-Schmidt operators I. *Integral Equations Operator Theory*, *9*(6), 877-892.

Halpern, H., Kaftal, V., & Weiss, G. (1986). The relative Dixmier property in discrete crossed products. *J. Funct. Anal.*, *69*(1), 121-140.

Halpern, H., Kaftal, V., & Weiss, G. (1986). Matrix pavings and Laurent operators. *J. Operator Theory*, *16*(2), 355-374.

Kaftal, V. & Weiss, G. (1986). A Riemann type theorem for unconditional convergence of operators. *Proc. Amer.Math. Soc.*, *98*(3), 431-435.

Kaftal, Victor & Weiss, Gary. (1985). Compact derivations relative to semifinite von Neumann algebras. *J. Funct. Anal.*, *62*(2), 202-220.

Erdos, Paul & Weiss, Gary. (1983). Dot product rearrangements. *Intl. J. Math., Math. Sci.*, *6*(3), 409-418.

Moore, R. L. & Weiss, G. (1983). The metric Fuglede property and normality. *Canad. J. Math.*, *35*(3), 516-525.

Weiss, G. (1983). An extension of the Fuglede commutativity theorem modulo the Hilbert-Schmidt class to operators of the form SnXNn. *Trans. Amer. Math. Soc.*, *278*(1), 1-20.

Weiss, G. (1981). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators II. *J. Operator Theory*, *5*(1), 3-16.

Weiss, G. (1981). The Fuglede commutativity theorem modulo operator ideals. *Proc. Amer. Math. Soc.*, *83*(1), 113-118.

Weiss, G. (1980). Commutators of Hilbert-Schmidt operators II. *Integral Equations Operator Theory*, *3*(4), 574-600.

Blass, A.and Weiss, G. (1978). A characterization and sum decomposition for operator ideals. *Trans. Amer. Math. Soc.*, *246*, 407-417.

Weiss, G. (1978). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators I. *Trans. Amer. Math. Soc.*, *246*, 193-209.

Weiss, G. (1978). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators I, *Trans. Amer. Math. Soc.* **246**, 193--209

Weiss, G. (1978). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators, *Hilbert space operators (Proc. Conf., Calif. State Univ., Long Beach, Calif., 1977), *175--184, Lecture Notes in Math., 693, *Springer, Berlin*

Weiss, G. (1976). Indecomposable Hilbert-Schmidt operators. *Proc. Amer. Math. Soc.*, *56*, 172-176.

### Other Publication

Weiss, G. (1997). The commutator structure of operator ideals, with K. Dykema, T. Figiel, and M. Wodzicki, Institut for Matematik og Datalogi, Odense Universitet, preprint no. 22, ISSN No. 0903-3920, 1-28.

### Technical Report

Weiss, G. (1989). On the structure of the class of commutators of compact operators, technical report. (unpublished).

Weiss, G. (1988). The paving problem for Cp-norms, combinatorial and probabilistic methods, with K. Berman, H. Halpern, V. Kaftal, 36th A.M.S. Summer Research Institute Lecture Notes. (unpublished).

### Book Chapter

Halpern, H., Kaftal, V., & Weiss, G. (1987). Operators in indefinite metric spaces, scattering theory and other topics (Bucharest, 1985). *Matrix pavings in B(H)* (pp. 201-214). Basel: Birkhäuser.

Weiss, G. (1978). Hilbert space operators (Proc. Conf., Calif. State Univ., Long Beach, Calif., 1977). *The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators* (pp. 175-184). Berlin: Springer.

### Book

Weiss, G. (1975). Commutators and Operators Ideals, dissertation, University of Michigan Microfilm.

## Presentations

### Invited Presentations

Gary Weiss*, John Petrovic and Sasmita Patnaik
(07-2020. )
*Universal Block Tridiagonalization in B(H) and Beyond *.University of Timisoara, Timisoara, Romania. Conference. .
Level:International

Gary Weiss*, John Petrovic and Sasmita Patnaik
(10-2019. )
*Universal block tridiagonalization in B(H) and beyond *.Western Michigan University, Kalamazoo, Michigan. Other Institution. .
Level:University

Gary Weiss
(07-2018. )
*Part 1: Automatic selfadjoint ideal semigroups in B(H) Part II: Diagonality *.University of Timisoara, Romania. Professional Meeting. .
Level:International

Gary Weiss
(04-2018. )
(In Press. )
*The commutator structure of operator ideals *.Ohio State University, Columbus OH. Conference. .
Level:Regional

Gary Weiss
(06-27-2016. )
*Diagonality history *.University of Timisoara, Timisoara, Romania. Conference. .
Level:International

Weiss
(10-09-2014. )
*Diagonality and Idempotents, Schur-Horn Theorems]{Diagonality and Idempotents, Jasper's frame theory problem, and Schur-Horn Theorems *.US Naval Academy, Annapolis, MD. Other Institution. .
Level:Department

Weiss
(10-07-2014. )
*Diagonality and Idempotents, Schur-Horn Theorems]{Diagonality and Idempotents, Jasper's frame theory problem, and Schur-Horn Theorems *.University of Virginia, Charlottesville, Va, USA. Other Institution. .
Level:Department

(2014) Gary Weiss
(06-25-2014. )
*An operator theorist's journey, pre Increst 1978 and post OT24 *.IMAR-Bucharest Research Inst. Math, Romania. Other Institution. .
Level:International

Weiss, G.
(2014. )
*2nd Mihaely Bakonyi Memorial Lecture-A BRIEF SURVEY ON I.ARVESON’S DISTANCE FORMULA AND APPLICATIONS IN PICTURES (EXCERPTS 2013 GPOTS BERKELEY ARVESON MEMORIAL CONFERENCE) II.INFINITEDIMENSIONAL SCHUR-HORN THEOREMS AND INFINITE MAJORIZATION THEORY WITH APPLICATIONS TO OPERATOR IDEALS III.DIAGONABILITY/IDEMPOTENTS-JASPER’S PROBLEM IN FRAME THEORY *.Georgia State University, Atlanta Georgia. Other Institution. .
Level:Honorary

Weiss, G.
(2014. )
*Plenary lecture-Schur-Horn II, Diagonalability, Idempotents and Jasper's frame theory problem, Part I *.OT25-University of Timisoara, Romania. Conference. .
Level:International

Weiss, G.
(2014. )
*AMS Special Session-Diagonals and Idempotents *.Univiersity of New Mexico,
Level:International

3 plenary lectures: Parts I-II: Kaftal, V. and Weiss, G. (Weiss presenter); Part III: Patnaik, S. and Weiss, G. (Weiss presenter)
(01-2012. )
*I. Majorization and Schur-Horn Thms II. Codimension conjecture III. Commutator problems. *CIRM-International Center for Research Mathematics, Marseilles, France . Conference. .
Level:International

Patnaik, S. and Weiss, G. (co-authors) Loreaux, J. (presenter)
(01-2012. )
*Subideals *.CIRM-research inst., Marseilles, France . Conference. .
Level:International

Kaftal V., Patnaik S,, Weiss G.* Plenary lecture
(2012. )
*Diagonals of positive compact operators, Schur-Horn generalizations and infinite majorization theory. II. Subideals of operators *.OT24, University of Timisoara, Timisoara, Romania. Conference. .
Level:International

Kaftal V,, Weiss G,*
(2012. )
*Diagonals of positive compact operators, Schur-Horn generalizations and infinite majorization theory *.IWOTA 2012 University of New South Wales, Sydney, Australia. Conference. .
Level:International

Patnaik S., Weiss G.*
(2012. )
*Subideals of operators *.IWOTA 2012 University of New South Wales, Sydney, Australia. Conference. .
Level:International

Patnaik, S. and Weiss, G. (Weiss presenter)
(2011. )
*Subideals *.SEAM27-University of Florida, Gainseville, Florida. Conference. .
Level:International

Kaftal, V. and Weiss, G. (Weiss presenter) and S. Patnaik (coauthored II)
(2011. )
*I. Majorization and Schur-Horn Theorems II. Subideals *.University of Goteborg, Goteborg, Sweden. Conference. .
Level:International

Weiss, G.
(2011. )
*Majorization in memory of Mihaely Bakonyi *.IWOTA-Intl workshop in Operator Theory and Applications, Spain. Conference. .
Level:International

Schmidt, D., Weiss, G. and Zarikian, V.
(2011. )
*Paving Small Matrices and the Kadison-Singer Extension Problem II-computational results. *Beijing University, Beijing.

Weiss, G.
(2011. )
*Recent results in operator theory *.Univ. Virginia Colloquia, Charlottesville, VA. Other Institution. .
Level:University

Schmidt, D., Weiss, G. and Zarikian, V.
(2010. )
*Paving Small Matrices and the Kadison-Singer Extension Problem II-computational results. *Beijing University, Beijing.
Level:International

Weiss, G. and Zarikian, V.
(2008. )
*Paving Small Matrices and the Kadison-Singer Extension Problem *.IWOTA-Intl workshop in Operator Theory and Applications, College of William and Mary, VA.
Level:International

Kaftal, V. and Weiss, G.
(2007. )
*Various titles at various conferences *.GPOTS and Wabash Inlt conference,
Level:International

Weiss, G. and Zarikian, V.
(2007. )
*Paving Small Matrices and the Kadison-Singer Extension Problem *.Canadian Operator Symposium-COSY07, University of Calgary, British Columbia.
Level:International

(2006. ) Kadison-Singer Workshop-American Institute of Mathematics (AIM), Palo Alto, California. Workshop. . Level:International

(2006. ) OT21 Romanian International Conference on Operator Theory,

(2006. ) SUMIRFAS, Texas A&M University.

(2006. ) COSY06, US Naval Academy .

(2005. ) Wabash 2005 Annual Meeting (IUPUI),

(2004. ) OT20 Romanian Operator Theory Conference,

(2004. ) IWOTA-University of Newcastle, Organizing invitation-Korea .

(2003. ) Special Session on Operator Algebras and Free Probability, AMS Indiana University.

(2003. ) Special Session on Operator Algebras, Baltimore AMS Annual Meeting .

(2002. ) OT19 Romanian Conference on Operator Theory , Conference. . Level:International

(2002. ) Fields Institute Toronto Workshop/Nonselfadjoint Operator Algebras,

(2002. ) Wright State University Colloquium,

(2002. ) GPOTS-North Carolina State University,

Kaftal, V. and Weiss, G.
(2002. )
*Participant-nonpresenter *.ICM2002 International Congress of Mathematics, Beijing.
Level:International

Kaftal, V. and Weiss, G.
(2002. )
*Various titles *.Satellite ICM2002 International Congress of Mathematics, Cheng de, China.
Level:International

(2001. ) GPOTS-U, New Hampshire.

(2001. ) Canadian Operator Algebra Symposium joint with MSRI-Berkeley,

(2000. ) GPOTS, Puerto Rico.

(2000. ) AMS Special Session , Toronto.

Weiss, G.
(1999. )
*Various titles *.Colloquia UC-Irvine, Cal Poly, Irvine California, Pomona, California. Other Institution. .
Level:International

Weiss, G.
(1999. )
*Commutators *.AMS special session on Linear Operator Theory-University of Florida, Gainseville, Florida.
Level:International

Weiss, G.
(1999. )
*Commutators *.SEAM-Southeastern Analysis Meeting, Memphis State University, Memphis, Tenn.
Level:International

Weiss, G.
(1999. )
*Commutators *.AMS Annual Meeting-Special Session, San Antonio, TX.
Level:International

(1999. ) Sabbatical-Univerity of California, Berkeley, Level:Department

Weiss, G.
(1998. )
*Commutators *.Cosy-Canadian Operator Algebra Symposium, Edmonton, Alberta, CA.
Level:International

(1998. ) University of Iowa Colloquia, Level:University

Weiss, G.
(1998. )
*Various titles *.University of Alabama-Tuscaloosa, Tuscaloosa, AL.
Level:International

(1998. ) University of Georgia-colloquim and visitor, Atlanta, Georgia. Other Institution. . Level:University

(1998. )
*Wabash Functional Analysis Meeting *.
Level:International

(1997. ) International Conference-Operator Algebras/Operator Theory, Shanghai, China.

(1997. ) Ohio State University, Other Institution. . Level:Department

(1997. ) AMS Regional Meeting-Atlanta,

(1997. )
*Dartmouth workshop on e-theory, quantization, and deformations *.

(1997. ) Canadian Operator Algebra Symposium Kingston,

(1996. ) Canadian Operator Algebra Symposium at The University of Saskatchewan, Saskatoon,

(1996. ) Wavelet Conference-University of North Carolina at Charlotte,

(1996. ) Orlando Annual A.M.S. Meeting, Orlando, Florida. Conference. . Level:International

(1996. ) University of California-Berkeley, Level:Department

(1996. ) NATO Aegean Conference on Operator Algebras, Samos, Greece.

(1996. ) IWOTA-Indiana University Conference on Operator Theory and Applications, Bloomington, Indiana. Conference. . Level:International

(1995. ) University of Alabama-Tuscaloosa Conference on Control Theory, Conference. .

(1995. ) Georgia Tech Colloquium, Atlanta, Georgia. Other Institution. .

(1995. )
*SEAM-University of Richmond *.Richmond, Virginia, Conference. .
Level:International

(1995. ) Canadian Operator Algebra Symposium-The Fields Institute, Toronto, Canada. Conference. . Level:International

(1994. ) Annual A.M.S. Meeting-Cincinnati (organized two special sessions), Cincinnati OH. Level:International

Dykema K.*, Weiss G., Wodzicki M.
(1994. )
*Commutator ideals *.Satelite ICM94 International Congress of Mathematics-University of Geneva, Geneva, Switzerland. Conference. .
Level:International

(1994. ) UC Mathematics Graduate Student Assn lecture: Algebra, analysis, topology and combinatorics, Cincinnati OH. UC. . Level:Department

Kaftal, Larson, Weiss (1993. ) Special Texas A&M Meeting on Kaftal-Larson-Weiss's work, College Station, Texas. Workshop. . Level:International

(1993. ) Special Session San Antonio Annual A.M.S. Meeting, Texas. Conference. . Level:International

(1993. ) Special Session Texas A & M A.M.S. Meeting, College Station, Texas. Conference. . Level:International

(1993. ) GPOTS University of Colorado, Boulder, Colorado. Conference. . Level:International

(1993. ) A.M.S. Meeting-Texas A & M special session, College Station, Texas. Conference. . Level:International

(1993. ) SEAM-Memphis State University, Memphis, Tennessee. Conference. . Level:International

(1991. ) Canadian Operator Theory Conference-University of Montreal, Canada. Conference. . Level:International

(1991. ) Annual A.M.S. Meeting-San Francisco, CA. Conference. . Level:International

(1991. ) University of Waterloo-colloquium and visitor, Waterloo, Canada. Other Institution. . Level:Department

(1991. ) Universities of Toronto, Houston, Indiana University Purdue University Indianapolis,, Various. Conference. . Level:International

(1989. ) Wabash Conference Honoring Allen Shields-University of Michigan, Michigan. Conference. . Level:International

(1988. ) AMS-University of New Hampshire NSF Summer Institute, AMS Special Session-University of Nebraska, Various. Conference. . Level:International

(1985. )
*Operators *.Mathematics Research Institute-INCREST, Bucharest, Romania. Conference. .
Level:International

(1985. ) University of Copenhagen, Denmark. Other Institution. .

(1985. ) University of Glasgow, Glasgow, Scotland. Other Institution. . Level:Department

(1983. ) University of Illinois-invited visitor and visiting Associate Professor-unable to attend, Urbana-Champaign. Other Institution. .

(1983. ) University of Georgia-colloquim and visitor, Athens, GA. Other Institution. .

(1983. ) University of Waterloo-colloquium and visitor, Waterloo, Canada. Other Institution. .

(1983. ) University of Michigan-Visitiing Associate Professor-4 months, and colloguium speaker, Ann Arbor, Michigan. Other Institution. .

(1983. ) Colloquia-UCLA, Miami University (Oxford), University of California-Riverside, Wayne State University, Wright State University, Pomona College, Indiana University (unable to attend), Various locations. Other Institution. .

(1981. ) Dalhousie University-Visiting Associate Professor-2 weeks-colloquium speaker, Other Institution. .

(1980. ) Wabash Conference, Wabash, Indiana. Conference. . Level:International

(1979. ) Romanian Operator Theory Conference, Timisoara and Herculane, Romania. Conference. . Level:International

(1978. ) Increst-Romania-invited visitor and colloquium speaker, Bucharest, Romania. Other Institution. . Level:International

(1975. ) Bucknell University International Conference, Bucknell, PA. Conference. . Level:International

Gary Weiss*, John Petrovic and Sasmita Patnaik
(05-2020. )
*Universal block tridiagonalization in B(H) and beyond *.Fields Institute, Toronto. Conference. .
Level:International

Sasmita Patnaik, Srdjan Petrovic and Gary Weiss*
(07-2020. )
*Universal block tridiagonalization in B(H) and beyond *.• Functions and Operators FaO conference 2020 (fao2k20@im.uj.edu.pl), Warsaw, Poland (delivered remotely). Conference. .
Level:International

Sasmita Patnaik, Srdjan Petrovic and Gary Weiss*
(10-2020. )
*Universal block tridiagonalization in B(H) and beyond *.University of Delaware, Delaware (presentation remotely delivered). Other Institution. .
Level:Department

### Colloquium

Gary Weiss
(06-25-2014).
*Schur-Horn II, Diagonalability, Idempotents and Jasper's frame theory problem, Part I *. IMAR-Romania Mathematics Research Inst. (Invited), Bucharest, Romania. Other Institution.
Level:International

Gary Weiss (coauthors Jasper, Loreaux)
(10-04-2014).
*Diagonality and Idempotents, Schur-Horn Theorems]{Diagonality and Idempotents: Jasper's frame theory problem, and Schur-Horn Theorems *.University of Virginia (Invited). Other Institution.
Level:University

### Lecture

Gary Weiss
(05-21-2013. )
*Arveson's distance formula and applications in pictures *.Professional Meeting.
Level:International

### Paper Presentations

Gary Weiss*, John Petrovic and Sasmita Patnaik
(2020. )
*Universal Block Tridiagonalization in B(H) and Beyond *.Texas A&M University. Conference.
Level:International

2014 Jireh Loreaux (presenter) and Gary Weiss
(07-2014. )
*Schur-Horn II, Diagonalability, Idempotents and Jasper's frame theory problem, Part II *.University of Timisoara, Romania. Conference.
Level:International

Jireh Loreaux (presenter) and Gary Weiss
(05-28-2014. )
*Idempotents with Zero Diagonal *.Kansas State University. Conference.
Level:International

JIreh Loreaux (presenter) and Gary Weiss
(03-07-2014. )
*Diagonals of Idempotents *.Clemson University. Conference.
Level:International

### Symposium

(1996. ) Cuernavaca, Mexico.

### Event Organized

ECOASECOAS Conference 2013 2013 University of Cincinnnati Level:International

IWOTAIWOTA Conference 2007 2008 William and Mary (invited to organize special session) Level:International

GPOTSGPOTS Conference 2007 2008 University of Cincinnnati Level:International

Organizing Committee for GPOTS-NebraskaOrganizing Committee for GPOTS-Nebraska 2006 2007

Special Session in Control TheorySpecial Session in Control Theory 2006 2007

AIM-Kadison-Singer WorkshopAIM-Kadison-Singer Workshop Workshop 2006 American Inst of Math.(AIM)-Palo Alto Level:International

GPOTS-CincinnatiGPOTS-Cincinnati Conference 1995 University of Cincinnnati Level:International

Annual AMS Meeting-Special Session on Control TheoryAnnual AMS Meeting-Special Session on Control Theory Conference 1994 University of Cincinnnati Level:International

GPOTS-CinicnnatiGPOTS-Cinicnnati Conference 1986 University of Cincinnnati Level:International

GPOTS Planning CommitteeGPOTS Planning Committee Conference 1986 2012 Varies Level:International

Regional AMS Special Session in Operator AlgebrasRegional AMS Special Session in Operator Algebras

Organizing Committee for Special Session in Operator AlgebrasOrganizing Committee for Special Session in Operator Algebras

SIUE operator theory conference satellite to GPOTS20SIUE operator theory conference satellite to GPOTS20 Conference 05-23-2020 05-27-2020 Southern Illinois University, Edwardsville & St Louis (both postponed due to pandemic) Level:International

## Honors and Awards

09-01-2012 -09-01-2017 Simon's Foundation Collaborative Grant for Mathematicians Simon's Foundation Status:Recipient Level:International Type:Grant

## Service

(Department Putnam Competition ) Committee Chair Type:Departmental Service Level:Department 08-26-2019 -04-30-2020

(Topology prelim committee ) Committee Chair Type:Departmental Service Level:Department 08-26-2019 -08-31-2020

NSF National Science Foundation Committee Member Type:Grant Panel Level:Public 10-09-2018 -12-06-2018

(Topology prelim committee ) Committee Chair Type:Departmental Service Level:Department 08-31-2018 -08-31-2019

Operators and Matrices & AMS Proceedings Peer Review/Referee Type:Other Level:International 2018 -2019

(Putnam Competition 16SS-FS ) Committee Chair Type:Development Service Level:Department 01-01-2016 -12-31-2018

(RPT-Reappointment and tenure committee ) Committee Chair Type:Departmental Service Level:Department 05-01-2015 -05-01-2016

(RPT-Reappointment, Promotion and Tenure ) Committee Member Type:Departmental Service Level:Department 05-01-2015 -04-30-2018

Math (Analysis Prelim ) Committee Chair Type:Departmental Service Level:Department 05-2015 -08-2016

Math (Qualifier Exam Committee ) Committee Member Type:Departmental Service Level:Department 05-2015 -05-2016

Math (Putnam and VTMC Exam Committee ) Committee Chair Type:Departmental Service Level:Department 05-2015 -05-2016

Math (VAP Hiring Committee ) Committee Member Type:Departmental Service Level:Department 05-2015 -08-2015

ART-Association for Rational Thought-alias Cincinnati Skeptics (Program & Organizing ) Committee Chair Type:Community Service Level:Local 05-2015 -05-2016

SSA-Secular Student Association (Advisor of student organization ) Type:University/College Service Level:University 05-2015 -08-2017

Cincinnati Science Bookclub (Organizing ) Committee Member Type:Community Service Level:Local 05-2015 -05-2016

5 journals-PNAS, PAMS, JMAA, CAOT, CONOP Peer Review/Referee Type:Service to Professional Associations Level:International 05-2015 -05-2016

Reviewer Type:Service to Professional Associations Level:University 05-2015 -12-2015

(Analysis prelim commitee ) Committee Chair Type:Departmental Service Level:Department 08-01-2014 -08-28-2015

UC Math Dept (Executive Committee ) Elected Member Type:Departmental Service Level:Department 08-24-2013 -12-31-2013

Simons Foundation (Collaborative Grants ) Reviewer Type:Grant Panel Level:International 02-12-2013 -04-12-2013

(Chair real analysis/complex analysis prelim committee ) Type:Departmental Service Level:Department 08-27-2012 -08-27-2013

Proceedings of the AMS Peer Review/Referee Type:Service to Professional Associations Level:International 2012

Inventiones Peer Review/Referee Type:Service to Professional Associations Level:International 11-11-2011 -09-11-2012

(RPT-Reappoint, Promotion, Tenure committee ) Elected Member Type:Departmental Service 2011 -2013

(Linear Algebra Committee. ) Committee Chair Type:Departmental Service 2011

(Calculus contest committee. ) Member Type:Departmental Service 2011

(Real Analysis ) Member Type:Departmental Service 2011

(Graduate student research director (2 full time + 1 part time). ) Committee Chair Type:Departmental Service 2011

Centerville High School-Mike Dalton coordinator/inviter (Invited hour lectures to three high school classes on critical thinking and life choices. ) Type:Community Service Level:Regional 2011

Inventionnes Peer Review/Referee Type:Service to Professional Associations Level:International 2011 -2012

Proceedings AMS Peer Review/Referee Type:Service to Professional Associations Level:International 2011 -2012

Sigma Peer Review/Referee Type:Service to Professional Associations Level:International 2011 -2012

(RPT Criteria Committee ) Committee Member 2010

(Merit committee ) Elected Member Type:Departmental Service 2010 -2012

(Textbook committee ) Committee Chair Type:Departmental Service 2010 -2011

(Research advisor for Jireh Loreaux ) Committee Chair Type:Departmental Service Level:Department 09-20-2009

(Calculus Contest Committee ) 2009 -2011

(Real Analysis Committee ) Committee Chair 2008 -2010

(GPOTS-Cincinnati ) Committee Member 2008

(Research and Dissertation advisor Sasmita Patnaik ) Committee Chair Type:Departmental Service Level:Department 09-20-2006 -12-31-2012

(GSEC ) Committee Member 2006 -2007

(Real Analysis prelim committee ) Committee Chair 2006

Committee Member 2004 -2006

(Calculus Contest Committee ) Committee Chair 2004 -2005

(Hiring Committee ) Committee Chair 2003 -2004

(UCSkeptics ) 1998 -To Present

(Graduate Affairs Committee ) Member 1997 -1998

(Mathematics Department Executive Committee ) Member 1996 -1997

(Finite Mathematics and Calculus Committee ) Committee Chair 1996 -1997

(Taft Lecture Committee ) Committee Chair 1995 -1996

(Assessment Committee ) Committee Chair 1995 -1997

(PIRT Committee ) Committee Chair 1995 -1997

1995 -1996

(Cincinnati's CUNY Alumni Association Chapter ) President 1995 -1996

(Advanced Graduate Courses ad hoc Committee ) Committee Member 1994 -1996

(Departmental Executive Committee ) Committee Member 1994

(ad hoc Commitee on Precalculus ) Committee Chair 1994 -To Present

(Organizing Committee for Cincinnati Annual A.M.S. Meeting: Special Session in Operator Analysis ) Committee Member 1994

(Organizing Committee for Cincinnati Annual A.M.S. Meeting: Special Session in Control Theory ) Committee Chair 1994

(Introductory Calculus ) Committee Chair 1993 -1994

(Department Workload Committee ) Committee Member 1993

(Cincinnati GPOTS International Conference Planning Committee ) Committee Member 1993 -1995

(Language Committee ) Committee Chair 1991 -1993

1991 -1993

(Teaching Evaluation Committee ) Committee Member 1990

(URC Fellowship Committee ) Committee Member 1989

(Undergraduate Affairs Committee ) Committee Chair 1988 -1989

(Graduate Affairs and Taft Faculty Hiring Committee ) Committee Member 1988 -1990

(Special Duties for Graduate Affaits Committee ) Committee Member 1988 -1990

(Introduction to Calculus Review Committee ) Committee Member 1988 -1989

(RPT--Reappointment, Promotion, and Tenure Committee ) Committee Chair 1988 -To Present

(Merit Committee ) Committee Member 1988 -1989

(GPOTS General International Conference Organizing Committee ) Committee Member 1986

1985 -1987

(Business Calculus ) Committee Chair 1985

A.A.U.P. Bargaining Council (Salary Subcommittee ) Committee Member 1983 -1984

(Colloquium ) Committee Chair 1980 -1983

(A.A.U.P. Nominating Committee ) Committee Member 1979 -1980

(Degree Requirements Committee ) Committee Member 1978 -1979

(A.A.U.P. Bargaining Council ) Committee Member 1976

(Committee on Proposal for Formalizing Tenure Procedure ) Committee Member 1976 -1977

(Graduate Studnet Admissions and Financial Aid Committee ) Committee Member 1975 -1976

Transaction AMS Peer Review/Referee

Journal of Operational Theory Peer Review/Referee

Acta Sinica Peer Review/Referee

Crelle Peer Review/Referee

Birkhauser Proceedings Peer Review/Referee

Prentice Hall-Analysis Text Peer Review/Referee

(National Science Foundation ) Peer Review/Referee

J. Operator Theory Peer Review/Referee

J. Math Anal. and Appl. Peer Review/Referee

Houston J. Math Peer Review/Referee

Israeli Binational Science Foundation Peer Review/Referee

J. Functional Analysis Peer Review/Referee

London J. Math Peer Review/Referee

Proceedings A.M.S. Peer Review/Referee

Glasgow J. Math Peer Review/Referee

Indian National Science Academy Peer Review/Referee

Michigan Math. Reviews Peer Review/Referee

Taiwanese Academia Sinica Bulletin Institute of Mathematics Peer Review/Referee

National Science Foundation Graduate Research Fellowship Program Peer Review/Referee

Pacific J. Math Peer Review/Referee

Hungarian J. Math Peer Review/Referee

Forum Mathematicum Peer Review/Referee

Royal Society of Edinburgh Proceedings A (Mathematics) Peer Review/Referee

Indian J. Math Peer Review/Referee

(Doctoral Committees )

Debrecen Peer Review/Referee Type:Service to Professional Associations Level:International

## Professional Affiliation

American Mathematical Society

American Association of University Professors

## Courses Taught

Readings Advanced Calculus & Intro to Analysis Level:Undergraduate

-MATH-2063 MULTIVARIABLE CALC Level:Undergraduate

Real Analysis Level:Both

15-MATH-351 LINEAR ALGEBRA I Level:Undergraduate

15-MATH-252 CALCULUS II Level:Undergraduate

15-MATH-276 MATRIX METHODS Level:Undergraduate

15-MATH-273 DIFFERENTIAL EQNS Level:Undergraduate

Operator Theory Level:Graduate

15-MATH-252 CALCULUS II Level:Undergraduate

15-MATH-511 ABSTRACT ALGEBRA 6003-Linear Algebra semesterized Level:Both

15-MATH-357 INTRO:ABSTR MATH 3001-Intro to Abstract Math semesterized Level:Undergraduate

Differential Equations

Honors Calculus I

Matrix Methods

Calculus I- III

Advanced Calculus II-III

Calculus I-III

Honors Calculus

Analytical Methods

Calculus II, IV

Abstract Algebra

Foundations Applied Calculus

College Algebra

Real Analysis

A course in basic Operator Theory

Functional Analysis I in operator theory/operator algebras

Real Analysis

Advanced Calculus

Differential Equations

Advanced Math II

Discrete Math

Linear Algebra

Calculus

Introduction to Calculus

Applied Math for Engineers

Finite Math and Calculus (designed new uniform syllabus and initiated uniform exams and standards)

Topology

Various Level:Undergraduate

Intro Abstract Math Level:Undergraduate

Differential Equations

15-MATH-273 DIFFERENTIAL EQNS Level:Undergraduate

Intro Analysis I Level:Both

Multivariable Calculus Level:Undergraduate

Advanced Calculus I Level:Both

Advanced Calculus II Level:Both

Calculus II

Calculus 0 and Calculus 1, 1060-1061 2 sections Level:Undergraduate

Intro Abstract Math (2 sections) Level:Undergraduate

Intro Analysis Level:Undergraduate

Advanced Calculus I Level:Both

Topology Level:Graduate

Introduction to abstract math Level:Undergraduate

Topology Level:Graduate

Introduction to analysis Level:Undergraduate

Introduction to abstract math Level:Undergraduate

Introduction to analysis Level:Undergraduate

-MATH-1062 CALCULUS II Level:Undergraduate

## Faculty Development Activities

05-29-2018 -06-02-2018 GPOTS 2018 Miami University, Oxford OH Type:Conference Attendance

09-15-2018 -09-16-2018 Wabash annual conference IUPUI, Indianapolis, Indiana Type:Conference Attendance