This webpage is no longer updated. Please refer to my URochester webpage.

Dinesh S. Thakur

Professor

Personal Homepage

Interests

Though I like to learn about all kinds of mathematics and science (mostly physics, genetics), my main research interests are in number theory and arithmetic geometry, and my main work has been in developing various aspects of function field arithmetic. The personal home page should give some idea about my research work.

Teaching

Function Field Arithmetic (519)

Algebraic Number Theory (514AB)

Algebraic Geometry (536AB)

Abstract Algebra (415/515AB)

Algebraic Coding Theory (Math/ECE 539)

Algebra (511AB)

Complex analysis and Riemann surfaces (520AB)

Game Theory (479/579)

Linear Algebra (413/513)

Ordinary Differential Equations (254)

Calculus I and II (123, 124H, 125, 129, 129 H, and at Michigan, Harvard)

Complex Variables (424/524)

Complex Variables with Applications (421/521)

Theory of Numbers (446/546 and at Michigan)

Advanced Calculus (Minnesota)

Linear and nonlinear multivariable analysis (Minnesota)

Fundamental Structures of Algebra (Minnesota)

Multivariable calculus and linear algebra (Harvard)

PhD Students

• Javier Diaz-Vargas: On zeros of characteristic p zeta functions(1996)
• Aaron Ekstrom: On the infinitude of elliptic Carmichael numbers(1999)
• Justin Miller: On p-adic continued fractions and quadratic irrationals(2007)
• Huei Jeng chen (Co-advised): Distribution of Diophantine approximation exponents for algebraic quantities in finite characteristic (2011)
• Aleksandar Petrov: On A-expansions of Drinfeld modular forms (2012)
• Alejandro Lara Rodriguez : Relations between multizeta values, and Bernoulli-Carlitz numbers (2013)
• Somjit Datta: On Jacobian Theta functions, Roger Series and Identities of Rogers-Ramanujan type (2013)
• Current students: George Todd, Shuhui Shi.
  (For abstracts of thesis, links to final versions, and papers based on them, see `abstracts' on my personal page. Official Thesis copies themselves are also publicly available through Math Sci Net, or the University.)

Masters students