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CV - Fachbereich Mathematik - Technische Universität Darmstadt

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CURRICULUM VITAEWalter FreynDecember 2012E-mail addressfreyn@mathematik.tu-darmstadt.de.Web addresshttp://www3.mathematik.tu-darmstadt.de/hp/algebrageometrieundfunktionalanalysis/freyn-walter/startseite.html.Undergraduate EducationDiplom in Physik, with honors (“sehr gut”), University of Augsburg (05/2011).Diplom in <strong>Mathematik</strong>, with honors (“sehr gut”), University of Augsburg (08/2005).Master of Science in pure mathematics, mention “bien”, University of Bordeaux, Bordeaux1 (05/2004).Postgraduate EducationDoctor of Mathematics, summa cum laude, Universität Augsburg (08/2009).PhD AdvisorErnst Heintze.Academic PositionsWissenschaftlicher Mitarbeiter (KIVA), TU <strong>Darmstadt</strong> (10/2011 - present).Wissenschaftlicher Mitarbeiter, Universität Münster (10/2009 - 09/2011).Wissenschaftlicher Mitarbeiter, Universität Augsburg (01/2005 - 09/2009).Visiting PositionsIHÉS (Institut des Hautes Études Scientifiques), 2 month visitor (Summer 2013).IHÉS (Institut des Hautes Études Scientifiques), Visiting scholar (Summer 2011, Summer 2012).Rutgers University, Visiting Scholar (Fall 2010, Spring 2011, Fall 2011, Spring 2012, Fall 2012).Max-Planck Institut für Gravitation, Potsdam, Visiting Scholar (Spring 2012).Hausdorff Institut, Bonn, 4 month visiting position (Spring 2011).Emmy Noether Institut, Tel Aviv, Visiting Scholar (Spring 2011, Spring 2007).Oregon State University, Corvallis, Visiting Scholar (Spring 2011).TU <strong>Darmstadt</strong>, Visiting Scholar (Winter 2010).Grants and prizesWissenschaftspreis der Uni Augsburg, 2009.Studienstiftung des Deutschen Volkes (PhD scholarship), 04/2007-08/2009.Travel grant of the European Union, 2006.Studienstiftung des Deutschen Volkes (student scholarship), 4/2002 - 09/2006.e-fellows.net scholarship, 6/2001 - 8/2010.Bayerisches Begabtenstipendium, 9/2000 - 8/2005.Anerkennungspreis des Rotaryclubs Augsburg Fuggerstadt für Soziales und kulturelles Engagement, 2002.Jahrespreis des Societas Annensis, 1999.Publications and manuscriptsThe geometry of Lie groups and Lie algebras – finite and infinite dimensional[CFF1] Carbone, L., Feingold, A. and Freyn, W., A lightcone construction of the twin building of a hyperbolic Kac–Moodygroup, in preparation (2012).[CFF2] Carbone, L., Feingold, A. and Freyn, W., Spherical parametrizations of Cartan subalgebras of hyperbolic Kac–Moody algebras, in preparation (2012).[F8] Freyn, W., Holomorphic completions for affine Kac-Moody groups, submitted (2012).[CFF2] Carbone, L., Freyn, W. and Penta, D., Weyl group orbits on Kac-Moody root systems, submitted (2012).[F7] Freyn, W., Tame Fréchet submanifolds, submitted (2012).[F6] Freyn, W., Orthogonal symmetric affine Kac-Moody algebras, submitted (2012).[F5] Freyn, W., Linear representations of twin cities, submitted (2011).[F4] Freyn, W., Kac-Moody geometry, appeared in: Global Differential geometry, Springer 2012 (2012).[F3] Freyn, W., Kac-Moody symmetric spaces, submitted (2011).[F2] Freyn, W., Kac-Moody groups, analytic regularity conditions and cities, accepted for Asian Journal of mathematics(2011).[F1] Freyn, W., Introduction to Kac-Moody symmetric spaces, Konferenzbericht des “32. Süddeutschen Kolloquiumsüber Differentialgeometrie” (2007).Combinatorial algebraic geometry


[CCF1] Carbone, L., Consani, C. and Freyn, W., On the absolute geometry of buildings, in preparation (2012).[CCF2] Carbone, L., Consani, C. and Freyn, W., Characteristic–free linear algebra, in preparation (2012).Lie group symmetries in theoretical physics[CFS1] Carbone, L., Freyn, W. and Sati, H., Duality symmetries in M–theory and Tits buildings, in preparation (2012).[CFS2] Carbone, L., Freyn, W. and Sati, H., Discrete hyperbolic Kac–Moody symmetries of de Sitter space, in preparation(2012).Lecture notesAffine Kac-Moody geometry, 2012.Funktionentheorie II (2012).Kac-Moody symmetric spaces, 2011.Invited talksConference: “Buildings 2012”, Münster, Combinatorial geometry of Chevalley groups (01.10.2012).Rutgers university, New Brunswick, Combinatorial geometry of Chevalley groups (20.09.2012).The Johns Hopkins University, Baltimore, Combinatorial geometry of Chevalley groups (18.09.2012).University of Pittsburgh, From SL(2) and hyperbolic space to hyperbolic Kac-Moody algebras and their buildings (03.05.2012).UCL Louvain, Belgium, Affine Kac-Moody symmetric spaces (27.04.2012).Oberwolfach Research Institut, Oberwolfach, Affine Kac-Moody symmetric spaces (13.04.2012).Oberwolfach Research Institut, Oberwolfach, Towards hyperbolic Kac-Moody geometry (09.04.2012).Max-Planck Institut for Gravitation, Potsdam, Affine Kac-Moody symmetric spaces (02.03.2012).Seminar für Algebra, Uni Giessen, From SL(2) and hyperbolic space to hyperbolic Kac-Moody algebras and their buildings(14.12.2011).Colloquium of the Hausdorff-Institut, Bonn, Kac-Moody symmetric spaces (12.10.2011).Conference: “Buildings 2011”, Münster, A lightcone construction for twin buildings of hyperbolic Kac-Moody algebras(06.10.2011).Johns Hopkins University, Baltimore, Twin cities (27.09.2011).DFG-JSPS Seminar “Lie Groups: Geometry and Analysis”, Paderborn, Kac-Moody geometry (05.09.2011).Symposium on Symmetric Spaces, Augsburg, Kac-Moody symmetric spaces (26.08.2011).Seminario de Geometria, Sao Paulo, Brazil, Twin cities (19.08.2011).Encontro Paulista de Geometria, Sao Paulo, Brazil, Affine Kac-Moody symmetric spaces (08.08.2011).Seminar of the Emmy Noether Institut, Bar Ilan, Israel, Kac-Moody geometry: From symmetries to geometry (22.10.2011).Annual meeting of the Israel mathematical Society, Bar Ilan, Israel, Kac-Moody geometry (16.05.2011).Colloquium of the department of mathematics, Oregon State University, Corvallis, USA, From permutations to Kac-Moodygeometry (05.04.2011).Geometry-Topology seminar, University of Maryland, College Park, USA, Kac-Moody geometry (28.03.2011).New York Algebra Colloquium, New York, USA, Kac-Moody geometry (24.03.2011).Colloquium of the department of mathematics, Rutgers University, New Brunswick, USA, Kac-Moody geometry (22.10.2010).Lie group seminar, Rutgers University, New Brunswick, USA, Kac-Moody symmetric spaces (22.10.2010).Université Henry Poincaré Nancy, France, Kac-Moody symmetric spaces (29.04.2010).University of Luxembourg, Luxembourg, Kac-Moody symmetric spaces: Foundations and some applications (08.12.2009).Universität Greifswald, Kac-Moody symmetric spaces (17.07.2009).Universität Köln, Kac-Moody geometry (15.07.2009).University of Leicester, Great Britain, Kac-Moody symmetric spaces (13.05.2009).Universität Paderborn, Kac-Moody geometry: Universal twin buildings, polar actions and infinite dimensional symmetricspaces (27.04.2009).TU <strong>Darmstadt</strong>, Affine buildings for polar actions and Kac-Moody symmetric spaces (16.12.2008).Conference: “Buildings 2008”, Universität Münster, Twin buildings for Kac-Moody symmetric spaces (30.09.2008).YMMB, Universität Bonn, Kac-Moody symmetric spaces (04.07.2008).Workshop in geometry, University of Pune, India, Foundations of a general theory of Kac-Moody symmetric spaces(07.01.2008).Kolloquium des ZMP, Hamburg, Kac-Moody symmetric spaces (28.06.2007).Annual meeting of the Israel mathematical Society, Be’er Sheva, Israel, Foundations of Kac-Moody symmetric spaces(17.05.2007).Tel Aviv University, Israel, Foundations of Kac-Moody symmetric spaces (16.05.2007).Einstein Institut of the Hebrew University, Jerusalem, Israel, Infinite dimensional symmetric spaces associated to affineKac-Moody algebras (14.05.2007).32. Süddeutsches Kolloquium über Differentialgeometrie, Kac-Moody symmetrische Räume (04.05.2007).Oberseminar für Differentialgeometrie, LMU München, Foundations of the theory of Kac-Moody symmetric spaces (09.01.2007).Institut Bernoulli, EPFL Lausanne, Switzerland, An elementary proof of Teichmüller’s theorem (14.12.2005).Séminaire de Cryptographie, Université Rennes 1, France, Une démonstration du théorème de Teichmüller (28.10.2005).Université Bordeaux 1, France, Une démonstration du théorème de Teichmüller par le biais de la géométrie hyperbolique(26.10.2005).


Opening lecture of the conference “Rencontres du 3. cycle”, Université Bordeaux 1, France, Géométrie hyperbolique etthéorie de Teichmüller (01.06.2005).Invited coursesAffine Kac-Moody geometry (10 90 minutes lectures aimed at a graduate and post-graduate audience), Justus-Liebig UniversitätGießen (spring 2012).Affine Kac-Moody symmetric spaces (3 90 minutes lectures aimed at a graduate and post-graduate audience), Rutgersuniversity (spring 2011).Graduate and undergraduate teachingComplex variables II, TU <strong>Darmstadt</strong> (spring 2012).Algebraic groups (joint with R. Dahmen and A. Mars), TU <strong>Darmstadt</strong> (spring 2012).Discrete differential geometry (joint with K. Große-Brauckmann and U. Reif), TU <strong>Darmstadt</strong> (winter 2011/2012).Seminar: Representation of compact Lie groups and the standard model (joint with C. Böhm), Westfälische Wilhelms-Universität Münster (winter 2010/2011).Teaching assistant: Analysis II, Westfälische Wilhelms-Universität Münster (spring 2010).Teaching assistant: Analysis I, Westfälische Wilhelms-Universität Münster (winter 2009/2010).Seminar: Differential topology (joint with E. Heintze), Universität Augsburg (spring 2009).Teaching assistant: Differential geometry, Universität Augsburg (winter 2008/2009).Seminar: Hyperbolic geometry (joint with E. Heintze), Universität Augsburg (spring 2008).Seminar: Morse theory (joint with E. Heintze), Universität Augsburg (winter 2007/2008).Seminar: Mostow rigidity theorem (joint with E. Heintze), Universität Augsburg (spring 2007).Seminar: Riemann surfaces (joint with E. Heintze), Universität Augsburg (winter 2006/2007).Seminar: Complex dynamics (joint with E. Heintze), Universität Augsburg (spring 2006).Teaching assistant: Klausurenkurs für Staatsexamenskandidaten, Universität Augsburg (spring 2001, winter 2001/2002,spring 2002, winter 2002/2003, spring 2003).Refereeing ExperienceReviewer for “Forum mathematicum” (since 2012).Reviewer for “Zentralblatt” (since 2011).CommitteesBerufungskomission for a professorship in algebra, TU <strong>Darmstadt</strong> (2012).Reviewer for PhD theses and faculty evaluation, Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan(2012).member of selection commetee for “German science foundation”, since 2011 (since 2011).Berufungskomission for the chair in differential geometry, University of Augsburg (2009).Honorary officesboard member of “Societas Annensis”, (Alumni club of Gymnasium bei St.Anna), CFO (2008 - 2010).Citygroupleiter (e-fellows), (2007 - 2012).MusicOrganist of St. Thomas church in Augsburg, musical of services, organization of a concert series, (since 2000).prize for cultural engagement of “Rotary club Augsburg-Fuggerstadt” (2002).150 concerts in Germany, Swizerland, France (since 1999).Recording of a disc to finance organ-rebuilding, organization of organ rebuilding (2006).

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