"Computer-aided proofs in analysis"

Principal investigator

Warwick TuckerProfessional Biography
After receiving his doctoral degree in mathematics at Uppsala University
in 1998, proving that the Lorenz attractor exists, Tucker spent two years at IMPA (Rio de Janeiro, Brasil) as a postdoctoral fellow.

During the years 2000 to 2002, Tucker held a H.C. Wang assistant professorship at Cornell University (Ithaca, USA) teaching and doing research in mathematics. During this period, Tucker was awarded the Swedish Mathematical Society's Wallenberg Prize, and the R.E. Moore Prize for Applications of Interval Analysis.

Upon his return to Sweden, Tucker was awarded a five-year research fellowship from the Swedish Royal Academy of Sciences.

In 2004, Tucker was awarded the European Mathematical Society's Prize for distinguished contributions in Mathematics.

In 2007, Tucker formed the CAPA group at the University of Bergen (Bergen, Norway). In 2009, the group moved to its current location at Uppsala University.

Tucker was promoted to full professor in 2011, and made Head of Department in 2014.

Members

Professor

Warwick Tucker
Computer-aided proofs in analysis.


Associate Professor

Denis Gaidashev
Dynamical Systems, renormalization, period doubling.


Associate Senior Lecturer

Jordi-Lluís Figueras
Computer-aided proofs in Dynamical Systems.


Postdocs

Igors Gorbovickis
Dynamical systems

Isaia Nisoli
Ergodic Theory, Rigorous Numerics


Ph.D. students

Victor Linroth
Dynamical Systems.

Anna Belova
Dynamical systems.

Viktoria Veselic
Applied dynamical systems/mathematical modeling.

Yevgen Ryeznik
Methods for adaptive optimal design using nonlinear mixed effect models.

Dan Strängberg
Dynamical systems.


Alumni

Natalia Zabzina [PhD student 2012-2017]
Applied dynamical systems.

Marina Gonchenko [postdoc 2015-2016]
Dynamical systems

Yasunori Aoki [postdoc 2014-2016]
Optimal design and model building methodology in pharmacometrics

Alexander Danis [PhD student 2007-2014]
Set-valued constraint propagation, with applications to pharmacokinetics.

Elio Mazzeo [postdoc 2013-2014, jointly with University of Toronto]
Dynamical systems

Mircea Voda [postdoc 2013-2014, jointly with University of Toronto]
Spectral theory for Schroedinger operators and Anderson localization,
geometric function theory

Peter Hazard [postdoc 2013-2014, jointly with University of Toronto]
Dynamical systems

Hanna Härdin [Postdoc 2012-2014]
Dynamics of slow-fast systems.

Ana Rodrigues [Research Fellow 2013]
Low-dimensional dynamical systems, ergodic theory, bifurcation theory.

Ferenc Bartha [PhD student 2008-2013]
Computer-aided proofs for boundary value problems.

Mioara Joldes [Postdoc 2011-2013]
Polynomial-based tools for rigorous computing.

Oswald Fogelklou [PhD student 2006-2012]
Computer-aided proofs for the viscous Euler equations.

Tomasz Kapela [Postdoc 2009-2011]
Computer-aided proofs in Hamiltonial dynamics.

Peter Gennemark [Postdoc 2008-2011]
Rigorous experimental design for pharmacokinetics.

Tomas Johnson [PhD student 2005-2009; researcher 2012-2013]
Computer-aided proofs in Dynamical Systems.

Daniel Wilczak [Postdoc 2007-2010]
Computer-aided proofs in Dynamical Systems.