**Ivan Horozov**

Ph.D., Mathematics, Brown University, 2004

B.A., Mathematics, MIT, 1998

**Teaching:**

Math 309 Matrix Algebra (course info)

Classes – M, W, F – 12-1pm

Office hours – M, W – 2-3pm

Teaching previous years: (link)

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

**Research:**

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*Resourceful Preprints (not for publication):*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

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