Arthur Ogus

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

(510) 642-8065

ogus@math.berkeley.edu


	Current Activity Seminar on the de Rham Witt complex (Fall 2018) Recent Courses Introduction to Log Geometry (Tokyo) Algebraic Geometry (Math 256B) Math 274--Logarithmic Geometry Math 250A Math 250B--Spring 2016 Math 1A Math 250B--2010 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.
		Logarithmic Geometry Research Papers and Presentations 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 Erratum to ``Finitenss of Rlim'' from ``Notes on Crystalline Cohomology" Monodromy and Log Geometry Monodromy and Log Geometry keynote presentation Conferences A Conference in Honor of Arthur Ogus on the Occasion of His 70th Birthday 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 A Cohomological Week in Rennes Conference in Honor of Robin Hartshorne's 80th birthday Current and Recent Students Martin Olsson Howard Thompson Daniel Scheppler Aaron Gray Carl Miller Ishai Dan-Cohen Piotr Achinger

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: ``Nostalgia in Times Square"

Patricia Barber: ``Triste"

Patricia Barber: ``Scream"

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