Svitlana Mayboroda

School of Mathematics, University of Minnesota

Main Lectures (4 hours each)

Jill Pipher	Director, ICERM, Professor of Mathematics, Brown University, President, Association for Women in Mathematics (AWM)
	Carleson measures and elliptic boundary value problems
Maria Cristina Pereyra	Professor of Mathematics, University of New Mexico
	Dyadic harmonic analysis and weighted inequalities

In addition, the workshop will feature two one hour lectures by:

Izabella Laba	University of British Columbia
Loredana Lanzani	National Science Foundation and University of Arkansas

as well as invited talks by the following speakers:

María de los Ángeles Alfonseca-Cubero	North Dakota State University
Ariel Barton	University of Minnesota
Oleksandra Beznosova	Baylor University
Ana Grau de la Herran	University of Missouri
Virginia Naibo	Kansas State University
Katharine Ott	University of Kentucky
Malabika Pramanik	University of British Columbia
Betsy Stovall	University of California, Los Angeles
Krystal Taylor	University of Rochester

and the panel discussion "Career in Mathematics"

Harmonic Analysis and the theory of Elliptic Partial Differential Equations are well-established areas of mathematics with a long celebrated history. Over the years they influenced the development of many other fields: Number Theory, Probability, Combinatorics, Geometry, linear and non-linear PDEs, to name just a few. Just as significant is their impact in life sciences, physics, engineering, computer science.

The Workshop will concentrate on central developments of modern Harmonic Analysis and Elliptic PDEs. It will introduce participants to methods and techniques which have emerged in recent years and yielded some of most influential results. We shall further discuss important open problems, current progress, and main challenges. Some of the focal points include: the theory of weights, dyadic harmonic analysis, singular integral operators, Haar shifts and Bellman function, Carleson measures and their role in Analysis and PDEs, elliptic PDEs on non-smooth domains, multilinear Fourier Analysis, as well as connections to geometric measure theory, additive combinatorics, analytic number theory, several complex variables.

The Workshop for Women in Analysis and PDE is targeted towards women at the early stages of their career in mathematics. It is designed to support them through the crucial passage from the graduate school to postdoc to faculty position to tenure, which is statistically the phase at which a particularly high percent of women leave academia. It is a focused educational and research program in a chosen area of Analysis and PDE, which will bring together outstanding senior female mathematicians and junior researchers. The Workshop is centered at two series of Main Lectures, contains invited and contributed talks, as well as panel discussions regarding career development issues.

General goals of the Workshop: what will YOU get out of it?. Despite numerous initiatives and undeniable progress over the past few decades, gender imbalance in mathematics remains significant, with a pronounced drop-off at the turning points of the career: while 42% of undergraduate degrees and 31% of Ph.D.s in math are awarded to women, one finds only 19% of female postdocs and 12% of women among the tenure-track and tenured faculty at doctoral departments. While today’s market in research mathematics is extremely challenging in principle, it is particularly difficult for women, for a variety of professional and personal reasons: some remaining bias, little visibility in the field, and a side but quite often crucial consideration: the reality of having to handle decisive points of career and personal life at the same age.

The Workshop for Women in Analysis and PDE is targeted towards women at the early stages of their career in mathematics, emphatically supporting them through the crucial passage from the graduate school to postdoc to faculty position to tenure, which is statistically the phase at which a particularly high percent of women leave academia.

It is a focused educational and research program in a chosen area of Analysis and PDE, which will bring together outstanding senior female mathematicians and junior researchers. The goal is, on one side, to introduce participants to a new field of Analysis and PDE and give a broad view of the rich opportunities the field has to offer, and, on the other, to stimulate new collaborations on the concrete projects. The main lectures will emphasize current directions of research and are aimed to help interested junior participants to join the on-going and starting projects. Participants’ presentations of their own results will enhance their visibility in the field and give them a chance to address senior mathematicians as well as their junior peers. And finally, there will be a panel and less formal discussions devoted to various professional issues, practical questions of managing career and family interests, job search, grant applications and such. At the early career stages it is particularly difficult for a young mathematician to develop new scientific relationships besides the ones with the advisor and postdoctoral mentor. Statistics indicates that the situation is even more complicated for women. While being a focused research program, the Workshop will naturally extend the mentorship network of women mathematicians igniting new projects, collaboration and crossfertilization of ideas

We aim to make mathematics equally open to everyone, and all interested researchers are invited to apply, regardless of affliation, age, and gender. Some travel funding is available due to the support of the National Science Foundation.

Wednesday | Thursday | Friday | Saturday
Wednesday May 30, 2012
Morning Chair: Loredana Lanzani Afternoon Chair: Betsy Stovall
9:15am-9:45am	Registration and Coffee		Keller Hall 3-176
9:45am-10:00am	Welcome and Introduction - IMA Director Fadil Santosa		Keller Hall 3-180
10:00am-10:50am	Dyadic harmonic analysis and weighted inequalities	Maria Pereyra (University of New Mexico)	Keller Hall 3-180
11:00am-12:00pm	Buffon's needle estimates for rational product Cantor sets	Izabella Laba (University of British Columbia)	Keller Hall 3-180
12:00pm-12:30pm	Register for the group dinner by 12:30pm. E-mail visit@ima.umn.edu
12:00pm-2:00pm	Lunch
2:00pm-2:50pm	Carleson measures and elliptic boundary value problems	Jill Pipher (Brown University)	Keller Hall 3-180
3:00pm-4:00pm	Perspectives on linear and bilinear pseudodifferential operators	Virginia Naibo (Kansas State University)	Keller Hall 3-180
4:00pm-4:15pm	break		Keller Hall 3-176
4:15pm-4:30pm	Group Photo		Keller Hall 3-180
4:30pm-5:00pm	Parallel sections and related problems in convex geometry	Maria Alfonseca-Cubero (North Dakota State University)	Keller Hall 3-180
6:30pm-8:30pm	Group Dinner at Kafe 421 (register by 12:30)		Kafe 421 421 14th Avenue SE Minneapolis, MN 55414 612.623.4900
Thursday May 31, 2012
Morning Chair: Izabella Laba Afternoon Chair: Svitlana Mayboroda
9:30am-10:00am	Coffee		Keller Hall 3-176
10:00am-10:50am	Dyadic harmonic analysis and weighted inequalities	Maria Pereyra (University of New Mexico)	Keller Hall 3-180
11:00am-11:50am	Carleson measures and elliptic boundary value problems	Jill Pipher (Brown University)	Keller Hall 3-180
12:00pm-2:00pm	Lunch
2:00pm-3:30pm	Panel Discussion		Keller Hall 3-180
3:30pm-5:00pm	Reception Lind Hall 400 Poster: Laminates Meet Burkholder Functions Nicholas Boros (Michigan State University) Poster - Logarithmic bounds for maximal directional singular integrals in the plane Francesco Di Plinio (Indiana University) Poster - Uniqueness of extremizers for an endpoint inequality of the k-plane transform Taryn Flock (University of California, Berkeley) Poster - Regularity of solutions of degenerate quasilinear equations Lyudmila Korobenko (University of Calgary) Poster: Asymptotic Estimates For Unimodular Fourier Multipliers On Modulation Spaces Lijing Sun (University of Wisconsin) Poster - Locally linear analysis with applications Yi Wang (University of Minnesota) Poster - Weighted multiparameter Hardy spaces associated with the Zygmund dilation Yayuan Xiao (Wayne State University)
Friday June 01, 2012
Morning Chair: Malabika Pramanik Afternoon Chair: Oleksandra Beznosova
9:30am-10:00am	Coffee		Keller Hall 3-176
10:00am-10:50am	Carleson measures and elliptic boundary value problems	Jill Pipher (Brown University)	Keller Hall 3-180
11:00am-12:00pm	The Cauchy Integral in several complex variables	Loredana Lanzani (National Science Foundation)	Keller Hall 3-180
12:00pm-2:00pm	Lunch
2:00pm-2:50pm	Dyadic harmonic analysis and weighted inequalities	Maria Pereyra (University of New Mexico)	Keller Hall 3-180
3:00pm-3:30pm	Reverse Holder techniques and boundary value problems	Katharine Ott (University of Kentucky)	Keller Hall 3-180
3:30pm-4:00pm	Break		Keller Hall 3-176
4:00pm-4:30pm	Muckenhoupt and Reverse Holder classes of weights via summation conditions.	Oleksandra Beznosova (Baylor University)	Keller Hall 3-180
4:30pm-5:00pm	Continuous Incidence Theory and its Applications to Number Theory and Geometry		Keller Hall 3-180
Saturday June 02, 2012
Morning Chair: Katharine Ott Afternoon Chair: Virginia Naibo
9:30am-10:00am	Coffee and last opportunity to turn in workshop forms in person		Keller Hall 3-176
10:00am-10:50am	Dyadic harmonic analysis and weighted inequalities	Maria Pereyra (University of New Mexico)	Keller Hall 3-180
11:00am-11:30am	T1 Theorem and local Tb Theorems for Square functions	Ana Grau de la Herran (University of Missouri)	Keller Hall 3-180
11:30am-12:00pm	The elliptic Dirichlet problem with BMO boundary data	Ariel Barton (University of Minnesota)	Keller Hall 3-180
12:00pm-2:00pm	Lunch
2:00pm-2:50pm	Carleson measures and elliptic boundary value problems	Jill Pipher (Brown University)	Keller Hall 3-180
3:00pm-3:30pm	Blowup behavior for the nonlinear Klein-Gordon equation	Betsy Stovall (University of California, Los Angeles (UCLA))	Keller Hall 3-180
3:30pm-4:30pm	A multi-dimensional resolution of singularities with applications to analysis	Malabika Pramanik (University of British Columbia)	Keller Hall 3-180

NAME	DEPARTMENT	AFFILIATION
Maria Alfonseca-Cubero	Department of Mathematics	North Dakota State University
Theresa Anderson	Mathematics Department	Brown University
Ariel Barton	School of Mathematics	University of Minnesota
Cristina Benea	Department of Mathematics	Cornell University
Soledad Benguria	Mathematics Department	University of Wisconsin-Madison
Oleksandra Beznosova	Department of Mathematics	Baylor University
Dmitri Bilyk	School of Mathematics	University of Minnesota
Nicholas Boros	Department of Mathematics	Michigan State University
Gong Chen	Mathematics Department	University of Minnesota
Laura Cladek	Mathematics Department	University of Wisconsin-Madison
Francesco Di Plinio	Mathematics Department	Indiana University
Jian Duan	Mathematical Sciences	University of Arkansas
Melissa Duchsherer	Mathematics Department	North Dakota State University
Aseel Farhat	Mathematics Department	University of California, Irvine
Taryn Flock	Mathematics Department	University of California, Berkeley
Ana Grau de la Herran	Department of Mathematics	University of Missouri
Heather Griffin	Mathematics Department	University of Arkansas
Po Hu	Mathematics Department	University of Minnesota
Joeun Jung	Department of Mathematics	Cornell University
Lyudmila Korobenko	Mathematics and Statistics Department	University of Calgary
Izabella Laba	Department of Mathematics	University of British Columbia
Loredana Lanzani	Department of Mathematical Sciences	National Science Foundation
Galyna Livshyts	Department of Mathematical Sciences	Kent State University
Svitlana Mayboroda	School of Mathematics	University of Minnesota
Lidia Mrad	Department of Mathematics	Purdue University
Monika Muehlbauer	Corporate Research and Technologies	Siemens
Virginia Naibo	Department of Mathematics	Kansas State University
Peter Olver	School of Mathematics	University of Minnesota
Katharine Ott	Department of Mathematics	University of Kentucky
Yumeng Ou	Department of Mathematics	Brown University
Pei Pei	Department of Mathematics	University of Nebraska
Maria Pereyra	Department of Mathematics & Statistics	University of New Mexico
Jill Pipher	Department of Mathematics	Brown University
Malabika Pramanik	Department of Mathematics	University of British Columbia
Liz Sattler	Department of Mathematics	North Dakota State University
Prabath Silva	Department of Mathematics	Indiana University
Mariana Smit Vega Garcia	Department of Mathematics	Purdue University
Betsy Stovall	Department of Mathematics	University of California, Los Angeles (UCLA)
Lijing Sun	Mathematical Science	University of Wisconsin
Sineenuch Suwannaphichat	Department of Mathematics	University of Illinois at Urbana-Champaign
Krystal Taylor	Department of Mathematics	University of Rochester
Michael Tinker	Department of Mathematics	University of Arkansas
Yi Wang	Department of Mathematics	University of Minnesota
Fan Wei	Mathematics Department	Massachusetts Institute of Technology
Yayuan Xiao	Department of Mathematics	Wayne State University
Longhua Zhao	School of Mathematics	University of Minnesota