Harry Tamvakis

Teaching

Introduction to Number Theory

Research

Recent Work:

A Giambelli formula for isotropic partial flag varieties
(Preprint 2009, 26 pages.)

Schubert polynomials and Arakelov theory of orthogonal flag varieties
(Preprint 2009, 16 pages.)

Quantum Giambelli formulas for isotropic Grassmannians
(with Anders Buch and Andrew Kresch, Preprint 2008, 11 pages.)

Giambelli, Pieri, and tableau formulas via raising operators
(Preprint 2008, 33 pages.)

A Giambelli formula for isotropic Grassmannians
(with Anders Buch and Andrew Kresch, Preprint 2008, 35 pages.)

Schubert polynomials and Arakelov theory of symplectic flag varieties
(Preprint 2008, 22 pages.)

Quantum Pieri rules for isotropic Grassmannians
(with Anders Buch and Andrew Kresch, Inventiones mathematicae 178 (2009), 345-405.)

Complete List of Papers and Preprints

Research-Expository Papers and Lectures:

The connection between representation theory and Schubert calculus
L'Enseignement Mathematique 50 (2004), 267-286.

Gromov-Witten invariants and quantum cohomology of Grassmannians
"Topics in Cohomological Studies of Algebraic Varieties", 271-297, Trends in Math., Birkhäuser, 2005.

Quantum cohomology of isotropic Grassmannians
"Geometric Methods in Algebra and Number Theory", 311-338, Progress in Math. 235, Birkhäuser, 2005.

Quantum cohomology of homogeneous varieties: a survey
in "Algebraic Groups", Oberwolfach Reports 4 (2007), 1212-1219.

Links

• Mathematics department seminars; I am an organizer for the Algebra-Number Theory seminar and the Colloquium.

• The Front for the mathematics preprint arXiv.

• The Arakelov geometry preprint archive.

• The homepage of the International Mathematical Olympiad.

Personal favorites:

• Information sources on Greece, compiled by the Hellenic Resources Institute.

• Problemesis, a web-magazine devoted to chess problems.

• StrateGems, the official publication of The Good Companions.

• The retrograde analysis corner, another nice chess problem site.