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 E XPERIENCE

2021–	Professor Emeritus	—	Dartmouth College
2004–2007	Department Chair	—	Dartmouth College
1994 (Fall)	Member	—	MSRI
1993–2021	Professor	—	Dartmouth College
1987–1993	Associate Professor	—	Dartmouth College
1981–1987	Assistant Professor	—	Dartmouth College
1979–1981	Lawton Lecturer	—	Temple University

REASEARCH

My research is in algebraic number theory with a particular interest in the theory of modular forms, central simple algebras, and the theory of buildings and their applications. I have done extensive work on questions of the representability of modular forms by theta series attached to quadratic forms, and have used the arithmetic of quaternion algebras to answer questions regarding the representation numbers of ternary and quaternary 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. Recent work has focused on the geometric and combinatorial aspects of affine buildings, as well as their application to the study of arithmetic in central simple algebras.

SUPERVISED PHD STUDENTS

Student Name	Current Affiliation	Degree Year	Thesis title
Angelica Babei	McMaster University	2019	On the Arithmetic of Tiled Orders
Michael Wijaya	Bard HS Early College Queens	2015	A function-field analogue of Conway's Topograph
Benjamin Linowitz	Oberlin College	2012	Selectivity in Central Simple Algebras and Isospectrality
Alison Setyadi	Department of Defense	2007	The Affine Buildings of $SL_n$ and $Sp_n$: A Combinatorial Perspective
Nathan Ryan	Bucknell University	2005	Calculating Satake parameters
Susan D'Agostino	Editor/Writer/Mathematician	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	Former Head:Investment Strategy/Portfolio Mgr, Parametric Portfolio Assoc	1993	Diagonalizing Spaces of Hilbert Cusp Forms
Lynne Walling	University of Bristol, UK	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

REFEREE / REVIEWER

• National Science Foundation
• National Security Agency
• Mathematical Reviews
• Zentralblatt für Mathematik


• Acta Arithmetica
• Glasgow Mathematical Journal
• International Journal of Number Theory
• 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.
2. Modern Cryptography and Elliptic Curves: A Beginner's Guide, STML 83, AMS, 252 pages, 2017, ISBN: 978-1-4704-3582-0.

[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, International J. Number Theory 6 (5), 2010, 1117 -- 1137.
22. Split Orders and Convex Polytopes in Buildings, J. Number Theory, 30 (1), 2010, 101 -- 115.
23. (with B. Linowitz) Embedding Orders in Central Simple Algebras, Journal de théorie des nombres de Bordeaux, 24 no. 2 (2012), 405 -- 424.
24. (with B. Linowitz) Local Selectivity of Orders in Central Simple Algebras, International Journal of Number Theory. 13, No. 4, pp. 853--884 (2017)
25. (with J. Jorgenson, L. Smajlovic) Lynne Heather Walling, a memorial article, submitted to the Notices of the AMS.

[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
8. Introduction to Mathematics Beyond Calculus