Arthur Ogus

Arthur Ogus
877 Evans Hall

or 951 Evans Hall (Chair's Office)
Department of Mathematics
University of California
Berkeley, California 94720

(510) 642-8065 or 642 4129 (Chair's office)

ogus@math.berkeley.edu

My Schedule on BCal

I love cycling, and used to be the adviser to the Cal Cycling Club:

I also love music, especially the jazz of Patricia Barber:

``Music is audible mathematics, with something else in the mix"---Patricia Barber

Patricia Barber plays Nostalgia in Times Square

Patricia Barber plays Triste


	Teaching Current Courses I am currently serving as chairmain of the departmentso not teaching much. Partial manuscript of Lectures on Logarithmic Geometry (Version of April 17, 2013) (email me for password) Pending Courses I am currently serving as the departmentchair, so not teaching much. Recent Courses Math 274--Logarithmic Geometry Math 250A Math 1A Math 250B Math 256B--Algebraic Geometry 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 A Higgs Correspondence in Characteristic p (slides) Singularities in the height strata in the moduli of K3 surfaces 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 Relative Rounding in Toric and Logarithmic Geometry (joint with Chikara Nakayama) The Eigenvalues of matrices which commute with their derivative Relatively Coherent Log Structures Colloquium on Log Geometry Conferences Higgs bundles on p-adic curves and represenation theory p-adic Geometry 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 Trends in Logarithmic Geometry Conference in Honor of Jean-Marc Fontaine Current and Recent Students Martin Olsson Howard Thompson Daniel Scheppler Aron Gray Carl Miller Ishai Dan-Cohen

Arthur Ogus

``Music is audible mathematics, with something else in the mix"---Patricia Barber

Teaching

Current Courses

I am currently serving as chairmain of the departmentso not teaching much.

Pending Courses

I am currently serving as the departmentchair, so not teaching much.

Recent Courses

Research

Recent Manuscripts

Conferences

p-adic Geometry 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 Trends in Logarithmic Geometry

Conference in Honor of Jean-Marc Fontaine

Current and Recent Students

Other Links

A cohomoogical week in Rennes
Photos

Arthur Ogus

``Music is audible mathematics, with something else in the mix"---Patricia Barber

Teaching

Current Courses

I am currently serving as chairmain of the departmentso not teaching much.

Pending Courses

I am currently serving as the departmentchair, so not teaching much.

Recent Courses

Research

Recent Manuscripts

Conferences

p-adic Geometry 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 Trends in Logarithmic Geometry Conference in Honor of Jean-Marc Fontaine

Current and Recent Students

Other Links

A cohomoogical week in Rennes Photos

p-adic Geometry 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 Trends in Logarithmic Geometry

Conference in Honor of Jean-Marc Fontaine

A cohomoogical week in Rennes
Photos