Intern
Winter- / Summerschool

Speakers

Carlos J. García-Cervera

Mathematical Foundations of Electronic Structure Theory

I received my Bachelor’s degree in Mathematics from the University of Valencia in Spain in 1994,  and my PhD in Mathematics from the Courant Institute of Mathematical Sciences at NYU in 1999. After a two-year postdoctoral position at Princeton University I came to UCSB as an Assistant Professor in 2001. I was promoted to Associate Professor in 2007, and Full Professor in 2010. In 2007 I received  a CAREER Award from the National Science Foundation. My research interests relate to the modeling, analysis, and simulations of liquid crystals and polymers, ferromagnetic materials, and electronic structure theory.

Website of  Carlos J. García-Cervera
(University of California, Santa Barbara, USA)

Martin Kružík

Variational approaches to time-dependent problems in solid mechanics

 

Martin Kružík is professor of mathematics. He earned  his master and doctoral degrees from  Charles University in Prague. He has been affiliated with the Institute of Information Theory and Automation of the Czech Academy of Sciences and with  the Faculty of Civil Engineering of the Czech Technical University. His research interests range from calculus of variations over applied  mathematical analysis to mathematical problems of continuum physics. In particular, this includes relaxation techniques  in solid mechanics, parameterized measures and their applications to materials with microstructure.  In recent years his research focuses on evolutionary problems at large strains and  their rigorous linearization.

Website of Martin Kružík
(Czech Academy of Sciences)

Apala Majumdar

Solution Landscapes for Nematic Liquid Crystals and their Applications

Apala Majumdar is Full Professor of Applied Mathematics and Associate Dean for International Research at the Faculty of Science, University of Strathclyde. She received her PhD in Applied Mathematics with a CASE (Competitive Award in Science and Engineering) from Hewlett Packard from the University of Bristol in 2006, followed by research fellowships at the University of Oxford and a faculty post at the University of Bath, before she moved to Strathclyde in 2019.  Apala is an expert in the mathematics of liquid crystals, with a special interest in interdisciplinary research in liquid crystals for applications in the physical sciences and industry. She has over 65 published papers to her credit, and she leads a multi-faceted and international research programme that spans across foundational aspects of liquid crystal theories,  multistable liquid crystalline systems for applications, solution landscapes for liquid crystalline systems and more recently, modelling of novel liquid crystalline materials e.g. bent-core systems and doped systems. The lectures will review some of her recent collaborative work on solution landscapes of benchmark liquid crystalline systems, including some rigorous results for stable configurations and their singularities, , numerical analysis of some finite element schemes, and detailed numerical computations of pathways between distinct stable configurations. All collaborations will be acknowledged during the lectures.

Website of  Apala Majumdar,
(University of Strathclyde, Glasgow, Scotland)

Elisabetta Rocca

Cahn-Hilliard-type phase-field theory coupled with large elastic
deformations

Elisabetta Rocca is full Professor of Mathematical Analysis at the Department of Mathematics of the University of Pavia since November 2018.

Since 2013 she has directed a research group linked to the ERC Starting Grant at the WIAS in Berlin of which she was Principal Investigator from 2010 to 2016. She moved to the University of Pavia in 2016.

Her research interests are related to the analysis of nonlinear partial differential equations relevant in engineering and biomedical applications. In particular, she is currently involved in projects dealing with the well-posedness and the optimal control of PDE system coupling Cahn-Hilliard type equations to viscoelasticity with large deformations or to reaction-diffusion equations relevant in the modelling of tumor growth dynamics.

 

Website of Elisabetta Rocca,
(University of Pavia, Pavia, Italy)

Arghir Zarnescu

Design of nematic liquid crystals through colloidal homogenisation

My research focuses on the analytical study of fundamental models from condensed matter physics. After graduating from the University of Chicago, under the supervision of Prof. Peter Constantin, with a thesis on polymeric fluids, I moved to Oxford, for 5 years, working under the mentorship of Prof. John M. Ball, on variational theories of liquid crystals. After that I moved away from Oxford, and developed my independent directions of research, while at the University of Sussex, as a lecturer, for 5 years. Since 2016 I have been working as an Ikerbasque Research Professor in BCAM, as a research-leader of the Applied Analysis, while also holding a part-time position at the "Simion Stoilow" Institute of Mathematics, in Bucharest, Romania.

Website of Arghir Zarnescu,
(Basque Center for Applied Mathematics, Bilbao, Spain)

Local Organizer

Anne Boenisch

Tel.: +49 931 31-89494
Fax: +49 931 31--80944
springschool@mathematik.uni-wuerzburg.de

Office Hours

Monday, Tuesday and Thursday 9:00 a.m. to 11:30 a.m..