http://www.math.osu.edu/~davis.12/

Michael W. Davis

Professor of Mathematics

    Email:

  mdavis@math.ohio-state.edu

http://www.pdmi.ras.ru/~sbuyalo/

Prof.  Buyalo, Sergei Vladimirovich

Sankt-Petersburg Department of Steklov Mathematical Institute , Laboratory of Geometry and Topology

191023, Sankt-Peterburg, Fontanka, 27

http://www.math.ethz.ch/~ledonnee/

http://geom.epfl.ch/

Chair of Geometry GEOM

Research interests

Combinatorial, differential and algebraic geometry and topology. Using representation theory to connect with number theory and physics.

https://people.maths.ox.ac.uk/hausel/talks.html

http://www.math.wisc.edu/~oh/

Professor
Univeristy of Wisconsin-Madison
Department of Mathematics
805 Van Vleck Hall
(608) 263-4831
oh AT math.wisc.edu

Research Interests

Symplectic geometry, Hamiltonian dynamical systems and Mirror symmetry
• Brief Narrative Research Resume
• Curriculum Vita : Ph. D., 1988; University of California-Berkeley

http://www2.imperial.ac.uk/~akaloghi/

I am an EPSRC Postdoctoral Fellow and Research Associate at the Department of Mathematics in Imperial College London.

My academic interests lie in Algebraic Geometry, especially in problems related to Birational Geometry. In 2007, I completed my PhD under the direction of Prof. A.Corti.

From 2007 to 2011, I was a Junior Research Fellow at Trinity Hall, Cambridge, working in the Department of Pure Mathematics and Mathematical Statistics of the University of Cambridge.

From January to May 2009, I was a member of the Mathematical Sciences Research Institute, Berkeley, during the Algebraic Geometry Program. I was at the Research Institute for Mathematical Sciences in Kyoto from November 2009 until April 2010.

From August to December 2011, I visited the University of Illinois at Chicago.

My CV is available here. Anyone interested in my work can contact me at a.kaloghiros@imperial.ac.uk .

Research

http://www.ma.utexas.edu/users/perutz/

Tim Perutz

Assistant Professor, Department of Mathematics,
University of Texas at Austin

Research interests: low-dimensional topology (especially 4-manifolds) and symplectic geometry.
(In brief: 4 is considered a low number of dimensions, but 5 is not. Symplectic is an adjective describing something fishy.)

Email: perutz AT math.utexas.edu

http://math.georgiasouthern.edu/~yilin/

I received my Ph.D in August, 2004 from Cornell University, with Reyer Sjamaar as my thesis advisor.  In the academic year 2004-2005, I was a visiting assistant professor at the University of Illinois at Urbana-Champaign; in the academic year 2005-2008, I was a Postdoctoral Fellow in the Department of Mathematics at the University of Toronto, where my mentors are Lisa Jeffrey, Yael Karshon, and Eckhard Meinrenken . Currently I am a tenure track assistant professor in the Department of Mathematical Sciences at Georgia Southern University.

  Research Interests

 I am interested in symplectic Geometry, generalized complex geometry, and their connection to Mathematical Physics and Lie Theory. My research so far mainly concerns the study of symmetry in symplectic and generalized complex geometries.  However, my recent work on symplectic Hodge theory and primitive cohomology classes has also aroused my interests in geometric measure theory. In my thesis work, I studied symplectic Hodge theory and the Hard Lefschetz property. Using the symplectic Hodge theory, I constructed a very simple proof of an improved version of the Kirwan-Ginzburg equivariant formality theorem. In addition, I constructed the first counter examples to an open question raised by Kaoru Ono and Reyer Sjamaar of whether the Hard Lefschetz property survives the symplectic reduction. After I received my Ph.D, I started my work on generalized complex geometry, an area initiated by Nigel Hitchin a few years ago. Jointly with Susan Tolman I extended the notion of Hamiltonian action and Marsden-Weinstein reduction to the realm of generalized complex geometry. As a first application, we worked out explicit constructions of bi-Hermitian structures on many toric varieties whose existence was only conjectural before. Recently, it has been shown by Kapustin and Tomasiello that the conditions that Tolman and I used to define generalized Kahler quotients are exactly the conditions in physics for general (2,2) gauged sigma models. In a series of follow up papers, I studied the equivariant cohomoloy theory for Hamiltonian actions on twisted generalized complex manifolds. In collaboration with Tom Baird, I extend the whole Kirwan package to Hamiltonian torus actions on generalized complex manifolds.Very recently, I proved that there is a Poincar\\'e duality between the primitive cohomology and homology on any compact symplectic manifold with the Hard Lefschetz property.  For projective K\"ahler manifolds, this provides a new geometric interpretation of primitive cohomology classes which is very different from what algebraic geometers had before.  As an application, I gave a rather satisfactory answer to an open question asked by Victor Guillemin on the symplectic Harmonic representatives of Thom classes. Among other things, I extended the Whitney\'s notion of flat chains to symplectic manifolds, and used it to give a geometric construction of the symplectic Hodge star operator. This reveals an unexptected intrinsic connection between the symplectic Hodge theory and the geometric measure theory. I intend to explore this connection further in a series of follow-up works.

http://www.math.ku.dk/~gaarde/

Anders Gaarde\'s homepage

I have a Ph.D. in mathematics from the University of Copenhagen, with professor Gerd Grubb as my academic advisor. My primary research interests are in partial differential equations and geometric analysis, in particular different invariants of differential and pseudodifferential operators on manifolds with or without boundary; also traces and quasi-traces on pseudodifferential calculi fall within my research areas.

I now work at 3Shape and am not currently active in mathematical research.

Research

My thesis can be downloaded here: Projections and residues on manifolds with boundary.

Preprints:

• Logarithms and sectorial projections for elliptic boundary problems.
  Co-authored with Gerd Grubb. To appear in Math. Scand.
• Noncommutative residue of projections in Boutet de Monvel\'s calculus.
  Accepted by J. Noncommut. Geometry.

http://www2.math.umd.edu/~harryt/

Research

My research lies mainly in algebraic geometry and intersection theory; I have worked on problems in Arakelov theory, quantum cohomology, and degeneracy loci, focusing on the homogeneous spaces of Lie groups. My mathematical interests include complex analytic and hermitian differential geometry, number theory and diophantine approximation, representation theory, and related combinatorics (such as Schubert calculus).