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ABBREVIATED CURRICULUM VITÆ
Thomas R. Shemanske

CONTACT INFORMATION

EDUCATION

Ph.D.	University of Rochester	1979
M.A.	University of Rochester	1976
A.B.	Cornell University	1974

GRANTS/RECOGNITION

• A. W. Mellon Foundation: ``A Better Calculus for Less" (Dwight Lahr, PI), ($224K approx) July 1, 2000 - June 30, 2003. [1 month of support, Summer 2003]

• AT&T Foundation: (co-PI, funded) ``Development and Dissemination of a Free, Online Calculus Course for College and High School Students'' (DC 5-38132), $50k, July 1, 2003 - June 30, 2006.

• Hewlett Foundation: (co-PI, proposed) ``Opening Access to Quality Calculus'', $400k, July 1, 2003 - June 30, 2006.

• A. W. Mellon Foundation: ``A Better Calculus for Less" (Dwight Lahr, PI), ($224K approx) July 1, 2000 - June 30, 2003. [1 month of support, Summer 2000]

• NSF Grant USE 8953908:(Co-Principal Investigator 1990-1991) ``Calculus: Restructuring and Integration with Computing" (3-year grant to carry out calculus reform), ($300K approx) 1989 - 1992.

• Sloan Foundation Grant 89-10-1: ``Computers and the teaching of Mathematics", ($80K approx) November, 1989 - November 1990.

• NSF Grant USE 8814009: ``Calculus: Restructuring and Integration with Computing" (planning grant for revision of calculus curriculum), ($50K approx) 1988 - 1989.

TEACHING AND PROFESSIONAL EXPERIENCE

2004--2007	Department Chair	---	Dartmouth College
1994   Fall	Member	---	MSRI
1993--present	Professor	---	Dartmouth College
1987--1993	Associate Professor	---	Dartmouth College
1981--1987	Assistant Professor	---	Dartmouth College
1979--1981	Lawton Lecturer	---	Temple University

RESEARCH

My research is in algebraic number theory with a particular interest in the theory of modular forms. I have done an extensive amount of work on questions of the representability of modular forms by theta series attached to quadratic forms, and I have used the arithmetic of quaternion algebras to answer questions regarding the representation numbers of quadratic forms. Other work has included aspects of the theory of newforms for integral and half-integral weight modular forms of elliptic and Hilbert type as well as the study of higher rank Hecke operators and their relation to Bruhat-Tits buildings for GL_n(K) and SP_n(K), K a local field. Current work concerns Hecke operators and auxilliary operators for Siegel modular forms.

SUPERVISED PhD STUDENTS

Student Name	Current Affiliation	Degree Year	Thesis title
Benjamin Linowitz	Dartmouth College	2011/12
Alison Setyadi	College of Mount St. Vincent	2007	The Affine Buildings of SL_n and Sp_n: A Combinatorial Perspective
Nathan Ryan	Bucknell	2005	Calculating Satake parameters
Susan D'Agostino	Portsmouth, NH	2003	Classifying Additive Codes
Holly Rosson	Warren Wilson College	2000	Theta functions over function fields
Sharon Frechette	Holy Cross	1997	Decomposition of Spaces of Half-Integral Weight Cusp Forms
Tamara Veenstra	University of Redlands	1997	Characterizing Siegel Modular Forms
Timothy Atwill	Russell Investments	1993	Diagonalizing Spaces of Hilbert Cusp Forms
Lynne Walling	University of Colorado (Boulder)	1987	Theta Series attached to Lattices of Arbitrary Rank

SPONSORED POSTDOCTORAL FELLOWS

John Wesley Young Research Instructors at Dartmouth

Name	Current Affiliation	Years
Cristina Ballantine	Holy Cross	2000--2002
Anne Schwartz	U Mass, Amherst	1989--1991
Jacob Nemchenok	Private Industry	1985-1987
John Cremona	Warwick Mathematics Institute, UK	1982--1984

RECENT INVITED TALKS

• Split Orders and Affine Buildings
  Heilbronn Institute
  Bristol, UK
  June 25, 2008
  
  
• Constructing Simultaneous Hecke Eigenforms
  University of Bristol
  Bristol, UK
  June 25, 2008
  
  
• Leadership and How We Raise our Young (NSF sponsored panel)
  Automorphic Forms Workshop (20th annual)
  Boulder, CO
  March 29 - April 2, 2006
  
  
• Attracting Students to Mathematics (NSF sponsored panel)
  Automorphic Forms Workshop (19th annual)
  Denton, TX
  March 17 - 20, 2005
  
  

REFEREE/REVIEWER

• National Science Foundation
• Mathematical Reviews
• Zentralblatt für Mathematik
  
  
• Acta Arithmetica
• Glasgow Mathematical Journal
• Journal of Number Theory
• London math Society
• Pacific Journal of Mathematics
• Ramanujan Journal
• Rocky Mountain Journal
• Transactions of the American Mathematical Society

PROFESSIONAL SOCIETIES

• American Mathematical Society
• Mathematical Association of America

PUBLICATIONS

Books and Monographs

1. (with H. Hijikata and A. Pizer), The Basis Problem for Modular Forms on Gamma_0(N) Memoirs of the AMS, 418 (1989), 159 pages.

Research Articles

1. (with H. Hijikata and A. Pizer), The Basis Problem for Modular Forms on Gamma_0(N), Proc. Japan Acad., 56 (1980), pp. 280-284.

2. Cuspidal Newforms and Character Twists, J. reine angew. Math., 328 (1981), pp. 58-71.

3. Primitive Newforms of Weight 3/2, Acta Arith., 43 (1984), pp. 97-104.

4. Ternary Quadratic Forms and the Arithmetic of Quaternion Algebras, preprint.

5. Representations of Ternary Quadratic Forms and the Class Number of Imaginary Quadratic Fields, Pacific J. of Math., 122 (1986), pp. 223-250.

6. Ternary Quadratic Forms and Quaternion Algebras, Journal of Number Theory 23 (1986), pp. 203-209.

7. (with H. Hijikata and A. Pizer), Orders in Quaternion Algebras, J. reine angew. Math. 394 (1989), pp. 59-106.

8. (with H. Hijikata and A. Pizer), Twists of Newforms, Journal of Number Theory 35 (1990), pp 287 - 324.

9. (with L. Walling) On the Shimura Lift for Hilbert Modular Forms, in A Tribute to Emil Grosswald: Number Theory and Related Analysis, Contemporary Mathematics, Volume 143, Knopp and Sheingorn Editors, American Mathematical Society, March 1993, pp 561 - 569.

10. (with L. Walling), Twists of Hilbert Modular Forms, Transactions of the AMS, 338, (1993), 375 - 403.

11. (with L. Walling), Determining Multiplicities of Half-Integral Weight Newforms, Pacific Journal of Math., 167, (1995), 345 - 383.

12. (with L. Walling), A Characterization of Simultaneous Hecke Eigenforms, preprint

13. (with A. Schwartz), Maximal Orders in Central Simple Algebras and Bruhat-Tits Buildings, Journal of Number Theory, 56, (1996), 115 - 138.

14. Newforms of Half-Integral Weight, Nagoya Math J. 143, (1996), 147 - 169.

15. (with C. Ballantine) Rolle's Theorem over Local Fields (preprint)

16. (with J. Rhodes), Rationality Theorems for Hecke Operators on GL_n, J. of Number Theory 102, (2003), 278 - 297.

17. (with C. Ballantine and J. Rhodes), Hecke Operators for GL_n and Buildings, Acta Arithmetica 112, (2004), 131 - 140.

18. The Arithmetic and Combinatorics of Buildings for Sp_n Transactions AMS 359, (2007), 3409-3423.

19. Hecke Operators, Zeta Functions, and the Satake Map (preprint)

20. (with N. Ryan) Inverting the Satake Map for $Sp_n$ and applications to Hecke Operators, Ramanujan J. 17 (2), 2008, 219 -- 244.

21. (with S. Treneer, L. Walling) Constructing Simultaneous Hecke Eigenforms, to appear International J. Number Theory.

22. Split Orders and Convex Polytopes in Buildings, J. Number Theory, 30 (1), 2010, 101 -- 115.

Other Published Articles

1. (with J. Baumgartner, et al.) Teaching Calculus with True BASIC, in Priming the Calculus Pump: Innovations and Resources, MAA Notes 17 (1990), pp 33 - 50.

Other Manuscripts

1. The Basis Problem for Modular Forms on Gamma_0(2^{2r}M), Ph.D. dissertation, University of Rochester (1979).

2. Notes on the Shimura-Shintani Correspondence, preprint.

3. WeBWorK Newbie Guide(versions 1.4, 1.5),(2000), 41 pages

4. WeBWorK Newbie Guide -- version 1.7, (2002), 68 pages

5. WeBWorK Installation and Course Setup Guide (local notes version 1.6), (2001), 11 pages

6. WeBWorK Installation and Course Setup Guide (local notes version 1.7), (2002), 13 pages

7. WeBWorK Installation and Course Setup Guide (local notes version 1.8), (2003), 15 pages

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Last modified on October 16, 2009