The NSF grant DMS- 1936215 supported the running of two Informal Analysis, one in November 2019 and another in August 2023.  Each seminar was held in the format of having two plenary speakers each delivering a series of four one-hour lectures.  The emphasis of the seminar series is that modern analysis is not a narrow subject, but rather a very broad toolbox of ideas which inform several neighboring areas of mathematics, such as computer science, discrete and convex geometry, probability theory, number theory and mathematical physics.  The seminar attracts world leading researchers in these different fields to present, in detail, aspects of the most exciting recent breakthroughs in their respective areas.  We attracted graduate students, and both junior and senior researchers, from across the US to participate in the seminar, and held a poster session in each seminar to give the opportunity for junior participants to display their work.  The complete participant lists from the conferences, as well as abstracts for the speakers, can be found on the informal analysis website http://www.math.kent.edu/~zvavitch/informal.The seminar provided a unique opportunity for the professional development of researchers by exposing them to a wide range of new techniques that have been used to make significant advances in mathematics.  The intensive weekend seminars enabled the plenary speakers to present state of the art mathematics in detail,  bringing participants to a level where they can actively work on exciting new lines of research in those fields.  As such, the seminars helped advance knowledge and understanding across several mathematical fields.  The seminar also helps to foster new collaborations between graduate students, postdoctoral fellows, and specialists in the field. To promote diversity in mathematics overall, and specifically in the areas related to analysis.

The first Informal Analysis Seminar supported NSF grant DMS- 1936215 was held on November 9-10, 2019, featuring lecture series by 

• Almut Burchard (University of Toronto) on "Nonlocal shape optimization problems, from rearrangement inequalities to aggregation in flocks," 
• Konstantin Tikhomirov (Georgia Tech) on "The average-case analysis in the Littlewood–Offord theory."

The weekend attracted over 50 participants, including graduate students and both junior and senior faculty from Miami University, University of North Carolina at Greensboro, University of Toronto, Indiana University, Cleveland State University, UC Berkeley, University of Michigan, Case Western Reserve University, Carnegie Mellon University, Georgia Institute of Technology, University of Rochester, Clemson University, University of Alberta, Princeton University, Virginia Tech, as well as Kent State.

The second Informal Analysis Seminar was held during August 19-20, 2023, featuring lecture series by

• Alex Iosevich (University of Rochester) on "Analytic, combinatorial, and arithmetic aspects of finite point configurations," 
• Itai Shafrir (Technion - Israel Institute of Technology) on "On a class of singular perturbation problems of Ginzburg-Landau type." 

The weekend attracted 38 participants, including graduate students and both junior and senior faculty from Miami University, University of Rochester, Case Western Reserve University, University of Akron, University of Michigan, Tel Aviv University, Georgia Tech, Longwood University, University of the Fraser Valley, North Dakota State University, University of Waterloo, Technion, Sheridan College, University of Alberta, University of Paris, Centre College, as well as Kent State.

Last Modified: 02/18/2024
Modified by: Artem Zvavitch