A NEW JOURNAL – JACT

A brand new journal in Applied and Computational Topology that, among many other things, is interested in high quality papers with a probabilistic and statistical bent.

Click on the front cover for more information.

Journal of applied and computational topology

MY TWO FAVOURITE SEMINARS

Applied and Random Topology Seminar

The purpose of the ART seminar is to present topics that are related to Mathematical Topology, but in a more applied context (e.g. Probability, Combinatorics, Statistics, Engineering). ART started only in 2016, but is the culmination of 4-5 years of earlier, less formal, seminar series in various aspects of Applied and Random Topology.

Seminar on Probability and Stochastic Processes

The SPSP seminar covers all topics in Pure and Applied Probability and Stochastic Processes. It started in 1980, and so in 2015 we celebrated its 35th anniversary (along with a couple of birthday parties). 

3 IMA LECTURES

The first lecture is a research talk:

Topological Data Analysis and the Euler Characteristic Curve

The second two are an attempt, in two parts, to explain some of the basics of probability and stochastic processes to an audience of topologists who, by training, are not only unable to distinguish between bagels and coffee cups, but, a fortiori, between the two sides of a coin.

Probability and Stochastic Processes for Persistent Homologists: Lecture 1

Probability and Stochastic Processes for Persistent Homologists: Lecture 2

 

 

 

TEACHING

2016-17

RECENT YEARS

 

CONFERENCES

2016CRM, Montreal. Thematic Semester on Probabilistic Methods in Geometry, Topology, and Spectral Theory

2015

DyToComp, Bedlewo, Poland: Dynamics, Topology and Computations

EVA15, Ann Arbor, Michigan: Extreme Value Analysis

2014

SAMSI, North Carolina: Program on Low Dimensional Structure in High Dimensional Systems: Workshop on Topological Data Analysis

SAMSI, North Carolina: Program on Low Dimensional Structure in High Dimensional Systems: Workshop on Topological Data Analysis

2013

IMA, Minnesota Workshop on Topological Data Analysis , which will be preceded by a three day tutorial An Introduction to Statistics and Probability for Topologists

2012

Boston AMS Short Course on Random Fields and Random Geometry

2010

Chicago WAART I: Workshop in Algebraic and Random Topology

Gothenburg IMS Annual Meeting (Session on Neuroscience, imaging and random fields.)

2009

Banff, February, 2009: Random Fields and Stochastic Geometry under the auspices of the Banff International research Station for Mathematical Innovation and Discovery

Palo Alto, August, 2009: Topological Complexity of Random Sets under the auspices of the American Institute of Mathematics

In 2009, I also gave one of the lecture series for the 39-eme Ecole d’ete de Probabilites in Saint-Flour in July. The lecture notes are now available