The Graduate topics courses for Spring 2019 are now available through the following link:
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Print this page The Department mourns the sudden and unexpected loss of its first-year doctoral student, Michael Zhao. Michael was an outstanding undergraduate at the University of Utah. He came here after spending a year as a Part III student in Cambridge. Michael had made a promising start on his doctoral studies here and was planning to specialize in number theory or algebraic geometry. He is survived by his parents, Shaoqing Song and Fuli Zhao, and by a brother, Alan Zhao. The Department will announce a memorial gathering for him in the near future. Funeral Arrangements have been made, as follows: Time: Friday, 12/21/2018 6:00 – 8:00 PM – Viewing Location: Larkin Sunset Gardens
Print this pageCome join us on Wednesday, October 31, 2018 between 4:30 – 5:30pm in Rm 520 and Thursday, November 1, 2018 between 5:30 – 6:30pm in Rm 417, Professor Eugenia Malinnikova (Norwegian University of Science and Technology) will be giving a special lecture titled An improvement of Liouville’s theorem for discrete harmonic functions. ABSTRACT We will present some discrete methods, compare the behavior of continuous and discrete harmonic functions and discuss some related questions and motivation. Tea will be served at 4 pm in 508 Mathematics. *Joseph Fels Ritt Lecture Flyer* Time & Location Wednesday, October 31, 2018 between 4:30 – 5:30 pm in Rm 520 & Thursday, November 1, 2018 between 5:30 – 6:30 pm in Rm 417 Print this pageCome join us on Wednesday, October 31, 2018 between 4:30 – 5:30pm in Rm 520 and Thursday, November 1, 2018 between 5:30 – 6:30pm in Rm 417, Professor Eugenia Malinnikova (Norwegian University of Science and Technology) will be giving a special lecture titled An improvement of Liouville’s theorem for discrete harmonic functions. ABSTRACT We will present some discrete methods, compare the behavior of continuous and discrete harmonic functions and discuss some related questions and motivation. Tea will be served at 4 pm in 508 Mathematics. *Joseph Fels Ritt Lecture Flyer* Time & Location Wednesday, October 31, 2018 between 4:30 – 5:30 pm in Rm 520 & Thursday, November 1, 2018 between 5:30 – 6:30 pm in Rm 417 Print this pageThe Graduate topics courses for Fall 2018 are now available through the following link; Print this pageCome join us on Mondays at 1:10 pm in RM 507. Starting Monday, September 10, 2018Professor Walter Schachermayer (University of Vienna), will be giving a special lecture titled; Asymptotic Theory of Transaction Costs “One of the great features of traditional asset pricing theory is the assumption that there are no market frictions. In particular, one assumes that there is no bid-ask spread, so that no transaction costs have to be considered. This bold simplification of the real world situation was crucial to clarify the picture. In a second step, however, it becomes important to carefully analyze the impact of transaction costs on the optimal behaviour of economic agents. Special emphasis will be given to asymptotic results, i.e., the limiting behaiviour when transaction costs tend to zero. In the first half of the series of lectures we shall develop the basics of this theory and subsequently apply these results to a study of the classical Black-Scholes model. In the second half we shall focus on applications which lead beyond the usual semi-martingale framework. A typical example will be a price process driven by fractional Brownian motion. This setting does not fit into the usual no arbitrage framework as these processes fail to be semi-martingales. The consideration of (small) proportional transaction costs allows us to find shadow price processes attached to these models, which allows to apply the well developed martingale theory also to these models.” Time & Location Mondays at 1:10 pm – 2:25 pm Mathematics Hall, Room 507 Print this pageGeometric aspects of p-adic Hodge theory ABSTRACT “Building up in a leisurely fashion, we will describe some recent advances in our understanding of the cohomology of algebraic varieties over p-adic fields, especially the integral cohomology. The main goal of the course is to define prismatic cohomology and explain how it unifies the various cohomology theories of interest in p-adic geometry. “ *Samuel Eilenberg Lecture Flyer* Print this pageEach summer the department hosts an intensive 10 week research program for Columbia undergraduates. This summer 17 undergrad students participated, working under the direction of faculty and grad student advisors. The students will give presentations of their work on Wednesday, August 1 from 1:30pm – 3:00pm in 417 Math. Each group will give a short talk (about 20 minutes). All are invited to attend. The projects are: “Knot Floer homology, bordered algebras and double points” (faculty advisors: Akram Alishahi and Linh Truong)
“Enumerative geometry and arithmetic” (faculty advisors Jo Nelson and Ila Varma)
“Curves on surfaces over finite fields” (faculty advisors: Daniel Litt and Alex Perry)
http://www.math.columbia.edu/programs-math/undergraduate-program/summer-undergraduate-research/
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Department of Mathematics
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