## Professional Summary

Professor Tara Smith has been on the faculty of the Department of Mathematical Sciences at the University of Cincinnati since 1991. Her primary area of research interest is abstract algebra; additionally she is interested in the mathematical preparation of teachers.

Professor Smith has served as the Graduate Program Director and Undergraduate Program Director in the Department of Mathematical Sciences. She has a long-standing involvement with College Board's AP Calculus program, in both test development and scoring roles.

Professor Smith is currently serving as a Program Director in the Algebra and Number Theory Program in the Division of Mathematical Sciences at the National Science Foundation.

## Education

A.B.: Princeton University Princeton, NJ, 1982 (Mathematics)

Ph.D.: University of California Berkeley, CA, 1988 (Mathematics)

## Research and Practice Interests

Areas of research interest include the algebraic theory of quadratic forms, division algebras, Galois groups, valuations and ordered fields, and the mathematical preparation of teachers.

## Positions and Work Experience

1988 -1991 Research Instructor, Instructor and Research Fellow in Mathematics, The Ohio State University, Columbus, OH

1991 -1994 Assistant Professor of Mathematics, University of Cincinnati, Cincinnati, OH

1994 -2001 Associate Professor of Mathematics, University of Cincinnati, Cincinnati, OH

1996 -To Present Faculty Consultant (Scoring Leadership 2007-present), Colege Board / Educational Testing Service,

2001 -To Present Professor of Mathematics, University of Cincinnati, Cincinnati, OH

2007 -2013 AP Calculus Development Committee (Chair, 2011-2013), College Board,

2011 -2013 Program Director, Algebra and Number Theory, National Science Foundation, Arlington, Virginia

## Research Support

05-2002 Association for Women Mathematicians Travel Grants Type:Grant

2001 Taft Faculty Summer Research Grants Type:Grant

05-1999 Association for Women Mathematicians Travel Grants Type:Grant

11-1996 Faculty Development Grant Type:Grant

1996 Taft Faculty Summer Research Grants Type:Grant

06-1995 Association for Women Mathematicians Travel Grants Type:Grant

1994 Taft Faculty Summer Research Grants Type:Grant

07-1992 Provostal Support for Profession Development Award Type:Grant

Grant: #MDA904-92-H-3023 06-1992 -05-1994 NSA Grant Type:Grant

Grant: #DMS-9001633 06-1990 -05-1992 NSF Grant Type:Grant

Grant: #DMS-8908258 06-1989 -05-1990 NSF Grant Type:Grant

09-1988 -06-1991 Research Fellow in Mathematics at Ohio State Univ. Type:Fellowship

09-1982 -08-1985 National Science Foundation Graduate Fellow Type:Fellowship

Grant: #DMS-1133735 Investigators:Smith, Tara 08-29-2011 -07-31-2013 National Science Foundation Intergovernmental Personnel Act Agreement - Program Director for the Algebra and Number Theory Program Role:PI $239,929.00 Active Level:Federal

Grant: #IPA Agreement DGE-1641244 Investigators:Smith, Tara 06-27-2016 -06-26-2017 National Science Foundation NSF IPA - Program Officer - NRT Program Role:PI $195,115.00 Awarded Level:Federal

## Abbreviated Publications

### Peer Reviewed Publications

Zero-divisor graphs for semigroups of order 7, to appear in *Semigroup Forum.* (jt. work with J. Sauer)

What it is they do: Differentiating knowledge and Literacy practices across content disciplines, *J. Adolescent and Adult Literacy, 55* (2011) 100-109. (jt. work with H. Johnson et. al.)

Realizability and automatic realizability of Galois groups of order 32. *Central Eur. J. Math.*,* 8* (2010) 244-260. (jt. work with H. Grundman)

Galois realizability of groups of order 64. *Central Eur. J. Math.*, *8* (2010) 846-854. (jt. work with H. Grundman)

Galois realizability of a central *C*_{4}-extension of *D*_{8}, *J. Algebra*, *322* (2009) 3492-3498. (jt. work with H. Grundman)

Abstract theory of semiorderings. *Bull. Australian Math. Soc.*, *72* (2005) 225 – 250. (jt. work with T. Craven)

Witt kernels of triquadratic extensions. *Contemp. Math.*, *344* (2004) 249-256. (jt. work with D. Leep)

Additive structure of subgroups of F*/F*2 and Galois theory. *Documenta Math.*, *9* (2004) 301-355. (jt. work with L. Mahé and J. Minác)

Galois groups over non-rigid fields. *Fields Institute Communications*, *33*, (2003) 61-77. (jt. work with W. Gao, D. Leep, & J. Minác)

Semiorderings and Witt rings. *Bull. Australian Math. Soc.*, *67*(2003) 329-341. (jt. work with T. craven)

Frattini closed groups and adequate extensions of global fields. *Israel J. Math.*, *130 *(2002) 1-10. (jt. work with D. Leep and R. Solomon)

Q-adequacy of Galois 2-extensions. *Israel J. Math.*, *130* (2002) 11-19. (jt. work with H. Grundman and D. Leep)

Q-adequacy of bicyclic bicubic fields. *Fields Institute Communications*, *32* (2002) 163-173. (jt. work with H. Grundman)

Multiquadratic extensions, pythagorean fields, and rigid fields. *Bull. London Math. Soc.*, *34* (2002) 140-148. (jt. work with D. Leep)

Ordered *-rings. *J. Algebra*, *238* (2001) 314-327. (jt. work with T. Craven)

Formally real fields from a Galois-theoretic perspective. *J. Pure and Applied Algebra*, *145*, (2000) 19-36. (jt. work with T. Craven)

Pythagorean *-fields. *J. Algebra*, *225*, (2000) 487-500. (jt. work with T. Craven)

W-groups under quadratic extensions of fields. *Canad. J. Math*, *52 *(2000) 833-848. (jt. work with J. Minác).

## Presentations

### Invited Presentations

(04-2011. )
*AP Calculus: panel presentation *.National Council of Teachers of Mathematics, Indianapolis, IN.
Level:National

(10-2005. )
*Forward to the Professorship *.Forward to the Professorship Conference, MIT.

(05-2005. )
*Forward to the Professorship *.Forward to the Professorship Conference, Gallaudet University.

(05-2004. )
*Forward to the Professorship *.Forward to the Professorship Conference, Gallaudet University.

(12-2002. )
*Semiorderings and Witt rings *.International Conference on Algebraic and Arithmetic Theory of Quadratic Forms, Talca and Pucon, Chile.

(07-2002. )
*Galois p-Extensions of Q as Maximal Subfields of Division Algebras *.Pingree Park Conference on Brauer Groups ,

(03-2002. )
*Multiplicative Subgroups of F*/F*2: Additive Properties and Extensions *.Colloquiumfest , University of Saskatchewan .

(03-2001. )
*Galois Groups Over Non-Rigid Fields *.Conference on Quadratic Forms and Related Topics, Louisiana State University .

(02-2001. )
*Determining Adequacy of Galois Extensions of Global Fields *.Algebra Seminar , University of Hawaii .

(04-2000. )
*Adequate Extensions of Global Fields *.University of Western Ontario ,

(01-2000. )
*Adequate Galois p-Extensions of Number Fields *.Algebra Seminar, Colorado State University .

### Paper Presentations

(08-2011. )
*Calculus: Concepts, Computations, and Communication *.Lexington, KY. Professional Meeting.
Level:National

## Service

College Board (AP Calculus Test Development Committee ) Co-Chair Type:Other Educational Service Level:National 07-2011 -06-2013

College Board (AP Calculus Test Development Committee ) Committee Member Type:Other Educational Service Level:National 09-2007 -06-2013

American Mathematical Society (Committee on Committees ) Committee Member Type:Service to Professional Associations Level:National 2007 -2009

American Mathematical Society (Joint Committee on Women ) Committee Member Type:Service to Professional Associations Level:National 2001 -2004

American Mathematical Society (Centennial Fellowship Committee ) Committee Member Type:Service to Professional Associations Level:National 2001 -2003

Department of Mathematical Sciences (Undergraduate Program ) Director Type:Departmental Service Level:Department 2006 -2011

College of Arts and Science (Undergraduate Council ) Committee Member Type:University/College Service Level:College 09-2006 -08-2011

Department of Mathematical Sciences (Graduate Program ) Director Type:Departmental Service Level:Department 2001 -2004

College of Arts and Science (Graduate Council ) Committee Member Type:University/College Service Level:College 09-2001 -08-2004

Department of Mathematical Sciences (UC Math Bowl ) Coordinator Type:Departmental Service Level:Local 09-2008 -06-2011

(University Research Council ) Committee Member Type:University/College Service Level:University 2006 -2007

Taft (Publications Committee ) Committee Member Type:University/College Service Level:College 2005 -2011

(WISE (Women in Science & Engineering) ) Committee Member Type:University/College Service Level:University 2000 -2011

Taft (Undergraduate Awards Committee ) Committee Chair Type:University/College Service Level:College 2000 -2001