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  1. Professor Radha Kessar

Contact Information

Contact

Visit Radha

E231, Drysdale Building

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Postal Address

City University London
Northampton Square
London
EC1V 0HB
UK

About

Background

Professor Kessar studied mathematics at Panjab University, India graduating with a Bachelor of Sciences in 1991.

She prepared her PhD at the Ohio State university, USA, under the supervision of Prof. Ronald Solomon.

After completing her PhD in 1995, Prof. Kessar held postdoctoral positions at Yale University and the University of Minnesota, and a Junior Research fellowship at University College, Oxford followed by a tenure track position at the Ohio State University. She joined City in 2012, from the University of Aberdeen.

Professor Kessar's research interests are in algebra, more specifically in the representation theory of finite groups. Besides her colleagues Professor Joseph Chuang and Professor Markus Linckelmann at City, Professor Kessar has collaborated with M. Aschbacher (Caltech), D.J. Benson (Aberdeen), C. Bonnafe (Montpellier), D. Craven (Birmingham), C. Eaton (Manchester), G. Hiss (Aachen), M. Holloway, T. Holm (Hanover), S. Koshitani (Chiba), B. Kulshammer (Jena), N. Kunugi (Tokyo), G. Malle (Kaiserslautern), R. Oliver (Paris 13), G.R. Robinson (Aberdeen), B. Sambale (Jena), R. Stancu (Amiens), M. Schaps (Bar-Ilan), and L. Valero-Elizondo (Morelia).

Qualifications

PhD Mathematics, The Ohio State University, 1995
MSc Mathematics, The Ohio State University, 1995
BSc (hons) Mathematics, Panjab University, 1991

Employment

09/2012 - to date City University London, Professor
08/2011 - 08/2012 University of Aberdeen, Professor
08/2007 - 07/2011 University of Aberdeen, Reader
09/2005 - 07/2007 University of Aberdeen, Senior Lecturer
10/2002 - 09/2005 The Ohio State University, Assistant Professor
10/1999 - 09/2002 University College, Oxford, Weir Junior Research Fellow
09/1997 - 06/1999 University of Minnesota,Visiting Assistant Professor
07/1996 - 06/1997 Yale University, Visiting assistant Professor
09/1995 - 06/1996 The Ohio State University, Lecturer

Other appointments

01/2008 - 06/2008 Mathematical Sciences Research Institute (MSRI), Invited Researcher
04/2005 - 05/2005 Université de Franche-Comté, Invited Professor

Membership of professional bodies

2008 London Mathematical Society, Representative for City University
2007 Edinburgh Mathematical Society, Ordinary Member

Research

Research interests

Representations of finite groups and associated areas of algebra.

Publications

Journal Article (46)

  1. Benson, D.J., Kessar, R. and Linckelmann, M. (15 Apr 2016). On blocks of defect two and one simple module, and Lie algebra structure of $HH^1$. .
  2. Kessar, R. and Malle, G. (01 Jan 2016). Lusztig induction and l-blocks of finite reductive groups. Pacific Journal of Mathematics, 279(1), 269-298. doi: 10.2140/pjm.2015.279.269
  3. Kessar, R., Koshitani, S. and Linckelmann, M. (2015). On symmetric quotients of symmetric algebras. Journal of Algebra, 442, 423-437. doi: 10.1016/j.jalgebra.2014.05.035
  4. Kessar, R. and Linckelmann, M. (2015). On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras. Groups St. Andrews 2013, London Mathematical Society Lecture Note Series(422), 324-330.
  5. Kessar, R., Linckelmann, M. and Navarro, G. (01 Jan 2015). A characterisation of nilpotent blocks. Proceedings of the American Mathematical Society, 143(12), 5129-5138. doi: 10.1090/proc/12646
  6. Héthelyi, L., Kessar, R., Külshammer, B. and Sambale, B. (05 Feb 2015). Blocks with transitive fusion systems. Journal of Algebra, 424, 190-207. doi: 10.1016/j.jalgebra.2014.10.042
  7. Kessar, R., Külshammer, B. and Linckelmann, M. (07 Nov 2015). Anchors of irreducible characters. Journal of Algebra. doi: 10.1016/j.jalgebra.2015.11.034
  8. Kessar, R. and Malle, G. (06 Oct 2015). Brauer's height zero conjecture for quasi-simple groups. Journal of Algebra. doi: 10.1016/j.jalgebra.2016.05.010
  9. Kessar, R., Koshitani, S. and Linckelmann, M. (01 Jan 2015). On the brauer indecomposability of scott modules. Quarterly Journal of Mathematics, 66(3), 895-903. doi: 10.1093/qmath/hav010
  10. Eaton, C., Kessar, R. and Külshammer, B. (15 Jan 2014). Special section celebrating the 60th birthday of geoffrey robinson. Journal of Algebra, 398, 312-313. doi: 10.1016/j.jalgebra.2013.10.009
  11. Eaton, C.W., Kessar, R., Külshammer, B. and Sambale, B. (24 May 2013). 2-blocks with abelian defect groups. .
  12. Kessar, R. (01 Jan 2012). On isotypies between Galois conjugate blocks. Springer Proceedings in Mathematics, 10, 153-162. doi: 10.1007/978-1-4614-0709-6_7
  13. Kessar, R. and Linckelmann, M. (12 Sep 2012). On the Hilbert series of Hochschild cohomology of block algebras. Journal of Algebra, 371, 457-461. doi: 10.1016/j.jalgebra.2012.07.020
  14. Kessar, R., Koshitani, S. and Linckelmann, M. (01 Oct 2012). Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8. Journal fur die Reine und Angewandte Mathematik(671), 85-130. doi: 10.1515/CRELLE.2011.162
  15. Craven, D.A., Eaton, C.W., Kessar, R. and Linckelmann, M. (01 Jun 2011). The structure of blocks with a Klein four defect group. Mathematische Zeitschrift, 268(1-2), 441-476. doi: 10.1007/s00209-010-0679-4
  16. Kessar, R. and Malle, G. (12 Dec 2011). Quasi-isolated blocks and Brauer's height zero conjecture. .
  17. Kessar, R. and Linckelmann, M. (01 Sep 2010). The graded center of the stable category of a Brauer tree algebra. Quarterly Journal of Mathematics, 61(3), 337-349. doi: 10.1093/qmath/han038
  18. Kessar, R. and Linckelmann, M. (15 Mar 2010). On stable equivalences and blocks with one simple module. Journal of Algebra, 323(6), 1607-1621. doi: 10.1016/j.jalgebra.2010.01.006
  19. Kessar, R., Kunugi, N. and Mitsuhashi, N. (13 Sep 2010). On saturated fusion systems and Brauer indecomposability of Scott modules. .
  20. Kessar, R. and Linckelmann, M. (16 Dec 2010). Bounds for Hochschild cohomology of block algebras. .
  21. Kessar, R. (02 Dec 2010). On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture. . doi: 10.1112/jlms/jdr047

  22. Kessar, R. and Linckelmann, M. (01 Jan 2009). On two theorems of Flavell. Archiv der Mathematik, 92(1), 1-6. doi: 10.1007/s00013-008-2911-6
  23. Kessar, R. (01 May 2009). On duality inducing automorphisms and sources of simple modules in classical groups. Journal of Group Theory, 12(3), 331-349. doi: 10.1515/JGT.2008.081
  24. Kessar, R. and Linckelmann, M. (01 Jun 2008). ZJ-theorems for fusion systems. Transactions of the American Mathematical Society, 360(6), 3093-3106. doi: 10.1090/S0002-9947-08-04275-X
  25. Kessar, R. and Stancu, R. (15 Jan 2008). A reduction theorem for fusion systems of blocks. Journal of Algebra, 319(2), 806-823. doi: 10.1016/j.jalgebra.2006.05.039
  26. Benson, D. and Kessar, R. (15 Sep 2007). Blocks inequivalent to their Frobenius twists. Journal of Algebra, 315(2), 588-599. doi: 10.1016/j.jalgebra.2007.03.044
  27. Bonnafé, C. and Kessar, R. (27 Aug 2007). On the endomorphism algebra of modular Gelfand-Graev representations. .
  28. Kessar, R. (15 Feb 2006). The Solomon system F<inf>Sol</inf>(3) does not occur as fusion system of a 2-block. Journal of Algebra, 296(2), 409-425. doi: 10.1016/j.jalgebra.2005.09.026
  29. Kessar, R. and Schaps, M. (28 Nov 2006). Crossover morita equivalences for blocks of the covering groups of the symmetric and alternating groups. Journal of Group Theory, 9(6), 715-730. doi: 10.1515/JGT.2006.046
  30. Kessar, R. and Linckelmann, M. (01 Dec 2006). On blocks of strongly p-solvable groups. Archiv der Mathematik, 87(6), 481-487. doi: 10.1007/s00013-006-1826-3
  31. Hiss, G. and Kessar, R. (15 Jan 2005). Scopes reduction and Morita equivalence classes of blocks in finite classical groups II. Journal of Algebra, 283(2), 522-563. doi: 10.1016/j.jalgebra.2004.08.030
  32. Holloway, M. and Kessar, R. (22 Sep 2005). Quantum complete rings and blocks with one simple module. Quarterly Journal of Mathematics, 56(2), 209-221. doi: 10.1093/qmath/hah036
  33. Holm, T., Kessar, R. and Linckelmann, M. (06 Dec 2005). Blocks with quaternion defect group over a 2-adic ring: the case tilde{A}_4. .
  34. Kessar, R. and Valero-Elizondo, L. (01 Apr 2004). Stable partitions and Alperin's weight conjecture for the symmetric groups in characteristic two. Boletin de la Sociedad Matematica Mexicana, 10(1), 53-62.
  35. Kessar, R. (01 May 2004). A remark on Donovan's conjecture. Archiv der Mathematik, 82(5), 391-394.
  36. Kessar, R. (15 Jun 2004). Shintani descent and perfect isometries for blocks of finite general linear groups. Journal of Algebra, 276(2), 493-501. doi: 10.1016/j.jalgebra.2004.02.013
  37. Kessar, R. and Linckelmann, M. (01 Jan 2003). A block theoretic analogue of a theorem of Glauberman and Thompson. Proceedings of the American Mathematical Society, 131(1), 35-40. doi: 10.1090/S0002-9939-02-06506-1
  38. Kessar, R. and Linckelmann, M. (01 Jan 2002). On perfect isometries for tame blocks. Bulletin of the London Mathematical Society, 34(1), 46-54.
  39. Chuang, J. and Kessar, R. (01 Mar 2002). Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture. Bulletin of the London Mathematical Society, 34(2), 174-184.
  40. Kessar, R. (01 Dec 2002). Scopes reduction for blocks of finite alternating groups. Quarterly Journal of Mathematics, 53(4), 443-454. doi: 10.1093/qjmath/53.4.443
  41. Kessar, R., Linckelmann, M. and Robinson, G.R. (15 Nov 2002). Local control in fusion systems of p-blocks of finite groups. Journal of Algebra, 257(2), 393-413. doi: 10.1016/S0021-8693(02)00517-3
  42. Kessar, R. and Linckelmann, M. (01 Mar 2002). On blocks with frobenius inertial quotient. Journal of Algebra, 249(1), 127-146. doi: 10.1006/jabr.2001.9058
  43. Kessar, R. (01 Feb 2001). Source algebra equivalences for blocks of finite general linear groups over a fixed field. Manuscripta Mathematica, 104(2), 145-162. doi: 10.1007/s002290170036
  44. Kessar, R. (01 Dec 2000). Equivalences for blocks of the weyl groups. Proceedings of the American Mathematical Society, 128(2), 337-346.
  45. Hiss, G. and Kessar, R. (15 Aug 2000). Scopes reduction and Morita equivalence classes of blocks in finite classical groups. Journal of Algebra, 230(2), 378-423.
  46. Kessar, R. (15 Dec 1996). Blocks and source algebras for the double covers of the symmetric and alternating groups. Journal of Algebra, 186(3), 872-933. doi: 10.1006/jabr.1996.0400

Book (1)

  1. Aschbacher, M., Kessar, R. and Oliver, B. (25 Aug 2011). Fusion Systems in Algebra and Topology. Cambridge University Press. ISBN: 1107601002.

Chapter (1)

  1. KESSAR, R. (2007). Introduction to block theory. Geck, M., Testerman, D.M. and Thévenaz, J. (Ed.), Group Representation Theory (pp. ) Efpl Press. ISBN: 0849392438.