Professor Radha Kessar
Contact
- Professor Radha Kessar
- +44 (0)20 7040 8461
- radha.kessar.1@city.ac.uk
Postal Address
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
Publications
Journal Article (46)
- 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 $HH^1$. .
- Kessar, R. and Malle, G. (08 Jun 2016). Brauer's height zero conjecture for quasi-simple groups. Journal of Algebra. doi: 10.1016/j.jalgebra.2016.05.010
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- 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
- Eaton, C.W., Kessar, R., Külshammer, B. and Sambale, B. (24 May 2013). 2-blocks with abelian defect groups. .
- 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
- 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
- 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
- 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
- Kessar, R. and Malle, G. (12 Dec 2011). Quasi-isolated blocks and Brauer's height zero conjecture. .
- 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
- 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
- Kessar, R., Kunugi, N. and Mitsuhashi, N. (13 Sep 2010). On saturated fusion systems and Brauer indecomposability of Scott modules. .
- Kessar, R. and Linckelmann, M. (16 Dec 2010). Bounds for Hochschild cohomology of block algebras. .
- 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
- 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
- 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
- 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
- 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
- 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
- Bonnafé, C. and Kessar, R. (27 Aug 2007). On the endomorphism algebra of modular Gelfand-Graev representations. .
- 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
- 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
- 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
- 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
- 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
- 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. .
- 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.
- Kessar, R. (01 May 2004). A remark on Donovan's conjecture. Archiv der Mathematik, 82(5), 391-394.
- 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
- 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
- Kessar, R. and Linckelmann, M. (01 Jan 2002). On perfect isometries for tame blocks. Bulletin of the London Mathematical Society, 34(1), 46-54.
- 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.
- 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
- 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
- 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
- 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
- Kessar, R. (01 Dec 2000). Equivalences for blocks of the weyl groups. Proceedings of the American Mathematical Society, 128(2), 337-346.
- 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.
- 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)
- Aschbacher, M., Kessar, R. and Oliver, B. (25 Aug 2011). Fusion Systems in Algebra and Topology. Cambridge University Press. ISBN: 1107601002.
Chapter (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.