Ivan Horozov

Ph.D., Mathematics, Brown University, 2004

B.A., Mathematics, MIT, 1998




Math 429 Linear Algebra (course info)

Classes – M, W, F – 12-1pm

Office hours: W 4-5pm, Th 2:30-3:30pm


Math 5031 Algebra I (course info)

Classes: Tu, Th 1-2:30pm

Office hours: W 4-5pm, Th 2:30-3:30pm


Teaching previous years: (link)

Ph.D. student: Zhenbin Luo, Ph.D. in Mathematics, Brandeis University, 2011


Curriculum Vitae




My research interests include mainly topics in Number Theory and Arithmetic Algebraic Geometry, more specifically, Cohomology of Arithmetic Groups, Modular Symbols, Multiple Dedekind Zeta Values, Reciprocity Laws on Algebraic Varieties:

Published papers:

Multiple Dedekind Zeta Functions, (pdf), to appear in Crelle`s Journal (Journal fuer die reine und angewandte Mathematik), 2014

Reciprocity Laws on Algebraic Surfaces via Iterated Integrals, with an appendix by Matt Kerr, (pdf), to appear in Journal of K-Theory, 2014

(with Anton Deitmar), Iterated Integrals and higher order invariants, (pdf), Canad. J. Math. 65 (2013), 544-552 doi: 10.4153/CJM-2012-020-8,

Cohomology of GL(4,Z) with non-trivial coefficients, (pdf), accepted Math. Res. Lett., 2012

Non-abelian Reciprocity Laws on a Riemann Surface, Int. Math. Res. Notices (2011) (11): 2469-2495. doi: 10.1093/imrn/rnq160

Euler characteristics of arithmetic groups, Math. Res. Lett., Volume 12, Issue 3, (2005) 275-291, doi: 10.4310/MRL.2005.v12.n3.a1

Cubes in an integer lattice, Mathematics and Informatics, vol. 3, no 3, (1993) pp. 85-89


Submitted papers:

Non-commutative Hilbert modular symbols, (pdf) pending Algebra and Number Theory, 2013

Multiple Zeta Values and Ideles, (pdf), submitted, 2013

Double shuffle relations for multiple Dedekind zeta values (pdf) [math.NT], submitted, 2013


In preparation:

Parallel Transport on Higher Loop Spaces, preprint, (pdf), 2012

With Zhenbin Luo, On the Contou-Carrere Symbol for Surfaces, arXiv:1310.7065, [math.AG], 2013

Book on iterated integrals (in preparation), 2013

Resourceful Preprints (not for publication):

A refinement of the Parshin symbol for surfaces, preprint, (pdf), (part of it submitted as Reciprocity Laws on Algebraic Surfaces via Iterated Integrals), 2010

Non-commutative two-dimensional modular symbol, preprint, (pdf), (part of it submitted as Non-commutative Hilbert modular symbols), 2006

Euler characteristics of arithmetic groups, thesis, (pdf), 94 pages, 2003, abbreviated version is already published

Tessellation of four-dimensional space by regular polytopes, preprint, 1994



Conference organizer:

Modular forms, p-adic L-functions and Selmer groups July 7-13, 2013 - NIO (Oriahovitza), Bulgaria (co-organized with M. Dimitrov, J. Tilouine, E. Urban)

Iterated integrals and applications, AMS Sectional Meeting, March 7-8, 2015, Georgetown, Washington, DC.


Summer School:

2014 June 30 - July 25, Clay Mathematics Institute Summer School, "Periods and Motives: Feynman amplitudes in the 21st century" ICMAT, 2014, Madrid, Spain, http://www.icmat.es/summerschool2014/


Talk presented at: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK workshop: Grothendieck-Techmueller Theory and Multiple Zeta Values title: Multiple Dedekind Zeta Functions, April 2013 (with many questions by Don Zagier) (link to video)


Upcoming talks :

2014 September 20-21, AMS Sectional Meeting at the University of Wisconsin-Eau Claire, Eau Claire, WI

2014 October 25-26, AMS Sectional Meeting at San Francisco State University, San Francisco, CA

2014 November 8-9 AMS Sectional Meeting at the University of North Carolina, Greensboro, NC



Contact Info:

Washington University in St. Louis

Department of Mathematics/ Cupples I, room 202

Phone: 314-935-8120

e-mail: horozov at math.wustl.edu



About me: