Arthur Ogus

Arthur Ogus
877 Evans Hall
Department of Mathematics
University of California
Berkeley, California 94720

(510) 642-8065

ogus@math.berkeley.edu

My office hours are usually:

T 2-3, W 1-2, F 1-2.

but check my weekly schedule here:

My schedule

since these times can change from week to week.

I am also faculty adviser to the Cal Cycling Club.

Cal Home Criterium Race


	Teaching Current Courses Math 256B--Algebraic Geometry Pending Courses Recent Courses Math 110--Linear Algebra Math 256A--Algebraic Geometry Math 113---Introduction to Abstract Algebra Math 254--Number Theory Math 54---Linear Algebra and Differential Equations Math 113--Introduction to Abstract Algebra Math 274--Logarithmic Geometry Math 104--Mathematical Analysis Math 290--Algebraic Differential Equations Math 256 B--Algebraic Geometry Math 290--Seminar on Algebraic Differential Equations Math 256A--Algebraic Geometry Math 110--Linear Algebra H113--Abstract Algebra Student Seminar in Algebraic Geometry Math 54--Linear Algebra and Differential Equations Math 113--Abstract Algebra Math 54--Linear Algebra and Differential Equations Math 104--Mathematical Analysis Math H104--Introduction to Analysis Math 113--Introduction to Abstract Algebra Math 54--LInear Algebra and Differential Equations Math 110


		Research
My specialty is algebraic geometry. This means, roughly, the study of the geometric properties of solutions of systems of algebraic equations. What I love about this subject is the interplay among geometry, algebra, analysis, and number theory. I am especially interested in applying differential and integral calculus in an algebraic setting. I am also involved in "logarithmic geometry," which is a systematic way of dealing with two important phenomena in mathematics: compactification and degeneration. Currently I am studying various aspects of algebraic differential equations, especially differential equations modulo p and differential equations with log poles.
	Recent Manuscripts Singularities in the height strata in the moduli of K3 surfaces Lectures on logarithmic algebraic geometry (in progress, version of ) Frobenius and the Hodge spectral sequence Elliptic crystals and modular motives On the Hasse locus of a Calabi-Yau family Higgs cohomology, p-curvature, and the Cartier isomorphism (Compositio Mathematica 140, 2004.) Email me for a copy or PDF.. On the logarithmic Riemann-Hilbert correspondence Documenta Mathematica, Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 655--724 Nonabelian Hodge theory in characteristic p (joint with Vadim Vologodsky ) Publications Mathématiques de l.I.H.E.S. No. 106 (2007), pp.1--138 Autour de Deligne-Illusie Musings on Microlocal Analysis in Characteristic p Hodge cohomology of invertible sheaves, with Hélène Esnault Conferences p-adic Geoemetry and Homotopy Theory Motives and Algebraic Cycles, A Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch F-singularities and D-modules Conference on Arithmetic and Algebraic Geometry Aspects de la géométrie algébrique: la postérité mathématique de Grothendieck Current and Recent Students Martin Olsson Howard Thompson Daniel Scheppler Aron Gray Carl Miller Ishai Dan-Cohen

Arthur Ogus

Teaching

Current Courses

Math 256B--Algebraic Geometry

Pending Courses

Recent Courses

Research

Recent Manuscripts

Conferences

p-adic Geoemetry and Homotopy Theory

Motives and Algebraic Cycles, A Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch

F-singularities and D-modules

Conference on Arithmetic and Algebraic Geometry

Aspects de la géométrie algébrique: la postérité mathématique de Grothendieck

Current and Recent Students

Other Links

A cohomoogical week in Rennes
Family Photographs

Arthur Ogus

Teaching

Current Courses

Math 256B--Algebraic Geometry

Pending Courses

Recent Courses

Research

Recent Manuscripts

Conferences

p-adic Geoemetry and Homotopy Theory Motives and Algebraic Cycles, A Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch

F-singularities and D-modules Conference on Arithmetic and Algebraic Geometry Aspects de la géométrie algébrique: la postérité mathématique de Grothendieck

Current and Recent Students

Other Links

A cohomoogical week in Rennes Family Photographs

p-adic Geoemetry and Homotopy Theory

Motives and Algebraic Cycles, A Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch

F-singularities and D-modules

Conference on Arithmetic and Algebraic Geometry

Aspects de la géométrie algébrique: la postérité mathématique de Grothendieck

A cohomoogical week in Rennes
Family Photographs