Sejong Park

Research Fellow Institute of Mathematics University of Aberdeen Aberdeen, AB24 3UE United Kingdom email: s.park@abdn.ac.uk office: Fraser Noble Building, Room 151 phone: +44 (0)1224-274101

Research Interests

• modular representation theory of finite groups
• fusion systems and related homological algebra

Papers

• The gluing problem for some fusion systems, submitted.
• Realizing a fusion system by a single finite group, submitted.
• Analogues of Goldschmidt's thesis for fusion systems, submitted. (joint work with Justin Lynd)
• Control of transfer and weak closure in fusion systems, J. Algebra, accepted. (joint work with Antonio Díaz, Adam Glesser, and Nadia Mazza)
• Glauberman's and Thompson's theorems for fusion systems, Proc. Amer. Math. Soc. 137 (2009), 495-503. (joint work with Antonio Díaz, Adam Glesser, and Nadia Mazza)
• The weighted fusion category algebra and the $q$-Schur algebra for ${\rm GL}(2,q)$, J. Algebra, 319 (2008) 93-101.
• The weighted fusion category algebra, PhD thesis (Aug 2008, advisor: Markus Linckelmann).

in progress

• Yoshida's and Tate's theorems for fusion systems
• The gluing problem for blocks of finite groups
• Finite groups realizing Ruiz-Viruel exotic fusion systems
• Idempotents of double Burnside rings

Talks/Conferences

• Algebra Seminar, University of Aberdeen, 5 Nov 2009
  • Bisets, realization, and the exoticity index of a fusion system
• Local Theory, Finite Groups and Representations, Luminy, 12-16 Oct 2009
• Fusion Days, Amiens, 10-11 Sep 2009
  • Two applications of bisets and idempotents for fusion systems slides
• Conference on Algebraic Topology, Group Theory and Representation Theory, Isle of Skye, 9-15 Jun 2009
  • Bisets and transfer theorems for fusion systems slides
• Representations of Finite Groups, Oberwolfach, 22-28 Mar 2009
  • Control of transfer and gluing problem for fusion systems
• Group Theory Seminar, The Ohio State University, 8 Jan 2009
  • Yoshida's transfer theorem for fusion systems
• Local Methods in Fusion Systems, Copenhagen, 15-19 Dec 2008
  • Control of fusion and transfer notes
• Chiba University, Japan, 11 Jul 2008
  • Focal subgroups of fusion systems and characters of height zero manuscript
• Homological Methods in Representation Theory, MSRI, 31 Mar - 4 Apr 2008
• Glauberman Conference, Chicago, 24-28 Mar 2008
  • 'Control of fusion' theorems of Glauberman and Thompson for fusion systems slides
• Lie Theory, MSRI, 10-14 Mar 2008
• Introductory Workshop on the Representation Theory of Finite Groups, MSRI, 4-8 Feb 2008
• Group Theory Seminar, The Ohio State University, 24 Jan 2008
  • Control of fusion in fusion systems - analogues of theorems of Glauberman and Thompson manuscript
• LMS/EPSRC Short Course: Fusion Systems, Birmingham, 30 Jul - 3 Aug 2007
• Around Broue's Conjecture, Luminy, 28 May - 1 Jun 2007
• The 12th ARTIN Meeting(postgrad+postdoc), Sheffield, 23-24 Mar 2007
  • The weighted fusion category algebra and the q-Schur algebra for GL(n,q)
• The 11th ARTIN Meeting(postgrad+postdoc), Aberdeen, 1-2 Dec 2006
• Workshop on Triangulated Categories, Leeds, 13-19 Aug 2006
• The 9th ARTIN Meeting(full), Manchester, 2-3 June 2006
• Aberdeen Postgrad Seminar, Aberdeen, 12 May 2006
  • Fusion category algebra and q-Schur algebra
• Scottish Algebra Day 2006, St Andrews, 28 Apr 2006
• The 8th ARTIN Meeting(postgrad+postdoc), Leeds, 21-22 Apr 2006
• Sixth Century Conference In Representation Theory, Aberdeen, 26-29 Oct 2005

Teaching

• University of Aberdeen, UK (2009-present)
  • First Half Session 2009-2010, Undergraduate Project (MX4020) - Introduction to Mathematical Logic
  • Second Half Session 2008-2009, Advanced Calculus (MA2507) - ODE part
• Tutorial Instructor, University of Aberdeen, UK (2005-2008)
  • Second Half Session 2007-2008, Algebra (MA1502)
  • First Half Session 2007-2008, Sets and Algebraic Structures (MA2004)
  • First Half Session 2007-2008, Engineering Mathematics 1 (EG1006)
  • Second Half Session 2006-2007, Mathematical Methods (MX3526)
  • Second Half Session 2006-2007, Calculus (MA1002)
  • First Half Session 2006-2007, Engineering Mathematics 1 (EG1006)
  • Second Half Session 2005-2006, Calculus (MA1002)
  • First Half Session 2005-2006, Calculus (MA1002)
  • First Half Session 2005-2006, Engineering Mathematics 1 (EG1006)
• Graduate Teaching Assistant, The Ohio State University, Columbus, Ohio, USA (2002-2005)
  • Summer Quarter 2005, Calculus and Analytic Geometry III (153), lecture
  • Spring Quarter 2005, Elementary Functions (150)
  • Winter Quarter 2005, Elementary Functions (150)
  • Autumn Quarter 2004, Mathematical Analysis for Business III (132)
  • Summer Quarter 2004, Calculus and Analytic Geometry II - Night (152N), lecture
  • Spring Quater 2004, Calculus and Analytic Geometry IV (254)
  • Winter Quarter 2004, Calculus and Analytic Geometry I (151)
  • Autumn Quarter 2003, Calculus and Analytic Geometry IV (254)
  • Spring Quarter 2003, Calculus and Analytic Geometry III (153)
  • Winter Quarter 2003, Calculus and Analytic Geometry II (152)
  • Autumn Quarter 2002, Calculus and Analytic Geometry II (152)
• Graduate Teaching Assistant, Seoul National University, South Korea (2001-2002)
  • First Half Session 2002, Calculus 1
  • Second Half Session 2001, Calculus 2
  • First Half Session 2001, Calculus 1

Links

• My blog(Korean)
• So, it is triangulated...