Guggenheim Fellow, 2020
Book
- An Illustrated Theory of Numbers.
Now available!
AMS, 323 pages.
Whitewater
Teaching
- (G) = Graduate course, (D) = Course Designer,
(C) = Course Coordinator, (T) = Team Taught,
(R) = Remote/online - Spring 2024: Advanced linear algebra.
- Fall 2023: Calculus with applications.
- Spring 2023: Algebraic number theory (G).
- Winter 2023: Programming for Mathematics (D).
- Fall 2020: Calculus with applications (R). Elliptic functions and modular forms (R, G).
- Spring 2020: Calculus with applications (R), Abstract algebra (focused for future K-12 teachers) (R).
- Spring 2019: Abstract Algebra (focused for future K-12 teachers) (D), Algebraic number theory II (G)
- Fall 2018: Abstract Algebra, Programming for Mathematics (D)
- Fall 2017: Precalculus, Algebra IV (G)
- Spring 2017: Calculus for engineering, science, and mathematics, Elliptic functions and modular forms (G)
- Fall 2016: Introduction to number theory, Algebra IV (G)
- Spring 2016: Proof
- Fall 2015: Scientific Inquiry (C,T), Number Theory
- Spring 2015: Proof (D)
- Fall 2014: Scientific Inquiry (C,T), Number Theory
- Spring 2014: Integrated Science (T,D)
- Fall 2013: Scientific Inquiry (T), Symmetry (1-week, T,D)
- Spring 2013: Topics in algebra: automorphic representations (G)
- Fall 2012: Elliptic functions and modular forms (G), Introduction to proof and problem-solving
- Winter 2012: History of mathematics
- Fall 2011: Introduction to number theory, Algebra IV (G)
- Spring 2011: Calculus for engineering, science, and mathematics
- Winter 2011: Algebra II (G)
- Spring 2010: Mathematics of choice and argument, Representation theory I (G)
- Fall 2009: Algebra IV (G)
- Spring 2009: Mathematics of choice and argument Algebraic number theory (G)
- Fall 2008: Introduction to number theory, Algebra IV (G)
- Spring 2008: Mathematics of choice and argument (D)
- Fall 2007: Introduction to proof and problem solving
- Spring 2007: Algebra, Algebra III (G)
- Fall 2006: Algebraic number theory (G)
Articles
- Clonally heritable gene expression imparts a layer of diversity within cell types, with Mold et al.
Cell systems 15,(2024) - What is... a metaplectic group,
Notices of the AMS 70, (2023) - Equivariant perverse sheaves on Coxeter arrangements and buildings,
Épijournal de Géométrie Algébrique 3,(2019) - An induction theorem for groups acting on trees,
Representation Theory 23 (2019) - The arithmetic of arithmetic Coxeter groups, with Suzana Milea an Christopher Shelley
PNAS 116, No. 2 (January 8, 2019) - Illustrating the theory of numbers,
Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture. - L-groups and parameters for covering groups,
Asterisque 398 (2018, 153 pages) - L-groups and the Langlands program for covering groups: a historical introduction, with Wee Teck Gan and Fan Gao,
Asterisque 398 (2018) - A comparison of L-groups for covers of split reductive groups,
Asterisque 398 (2018) - Whittaker models for depth zero representations of covering groups, with Fan Gao,
IMRN 2019, No. 11 (published 2017). - Covers of tori over local and global fields,
American Journal of Mathematics 138, No. 6 (2016) - Covering groups and their integral models,
Transactions of the AMS 368, No. 5 (2015). - Split metaplectic groups and their L-groups,
J. Reine Angew. Math. (Crelle's journal) 696 (2014) - Managing Metaplectiphobia: Covering p-adic groups,
in "Harmonic analysis on reductive, p-adic groups"
Contemp. Math. 543 (2011) - Dichotomy for generic supercuspidal representations of G2, with Gordan Savin,
Compositio Mathematica 147 (2011) - Depth-zero representations of nonlinear covers of p-Adic groups, with Tatiana Howard,
IMRN 21 (2009) - Metaplectic tori over local fields,
Pacific Journal of Mathematics 241, No. 1 (2009) - Multiplying modular forms,
in "Modular Forms on Schiermonnikoog"
Cambridge University Press (2008) - D4 modular forms,
American Journal of Mathematics 128, No. 4 (2006) - The Fourier-Jacobi map and small representations,
Representation Theory 7 (2003)
Unpublished
- Correspondence with P. Deligne, a collection of 11 letters related to covering groups, as one PDF file.
- Some old code to produce coefficients of a tetrahedral Maass form
- Well-rounded facts about spheres, a math club talk from 2009.
- What is G2, an expository talk from 2009.
- Octonions, cubes, embeddings, a talk at SAGE days 13, 2009.
