CURRICULUM VITÆ DAVID JOHN BENSON Education and Employment Dates Place Degree/Position 2017{ University of Aberdeen, Emeritus Professor Scotland, UK of Mathematics 2005{17 University of Aberdeen, 6th Century Chair Scotland, UK of Pure Mathematics 2000{05 University of Georgia, Distinguished Research Athens GA, USA Professor (NSF grant held) 1994{00 University of Georgia, Full Professor Athens GA, USA (NSF grant held) 1993{94 University of Georgia, Visiting Associate Athens GA, USA Professor 1986{93 University of Oxford, University Lecturer and England, UK fellow of Wolfson College 1984{86 Northwestern University, Assistant Professor Evanston, IL, USA (NSF grant held) 1982{84 Yale University, Gibbs Instructor New Haven, CT, USA (NSF grant held) 1981{82 Arhus˚ Universitet, Danmark Royal Society exchange fellow 1978{81 Trinity College, Cambridge Ph.D. in Mathematics 1977{78 Trinity College, Cambridge Part III Mathematics, honours with distinction 1974{77 Trinity College, Cambridge First class honours in Mathematics tripos 1967{74 Maidstone Grammar School 8 O-levels, 3 A/S-levels (Mathematics A1, Physics A, Chemistry A1) Awards and Honours 2018 Howard Rowlee Lecture, Lincoln, Nebraska, USA 2018 Research Professorship for the MSRI representation theory programme 2017{2020 Reappointed Honorary Visiting Professor at City, University of London 2017 Maurice Auslander Distinguished Lectures, Cape Cod, USA Date: July 2020. 1 2 DAVID JOHN BENSON 2017 Elected Fellow of the Royal Society of Edinburgh (FRSE) 2016 Conference, PIMS, Vancouver, Canada to celebrate 60th birthday 2015 Conference, Isle of Skye, Scotland to celebrate 60th birthday 2015 Master of Mathematics, Trinity College, Cambridge 2014{2017 Honorary Visiting Professor at City, University of London 2013 Research Professorship for the MSRI commutative algebra programme 2012 Elected Fellow of the American Mathematical Society 2010 Invited speaker at the ICM in Hyderabad, India 2008 Simons Professorship for the MSRI representation theory programme 2004 Humboldt Research Award for Senior US Scientists, Germany 2004 Creative Research Award, University of Georgia 2003 Sandy Beaver Teaching Award, University of Georgia 1998 Creative Research Medal, University of Georgia 1993 Junior Whitehead Prize, London Mathematical Society 1980 Raleigh Prize, Trinity College, Cambridge 1977 Yeats Mathematics Essay Prize, Trinity College, Cambridge 1976 Senior Scholar, Trinity College, Cambridge 1974 Entrance Scholar, Trinity College, Cambridge Research Visits 6 Jan to 18 Mar 2020, Newton Institute programme on \Groups, representations and applications: new perspectives," Cambridge, UK (interrupted by Covid-19). 21 Oct to 21 Nov 2019, Research visit to University of Warwick, UK. 10{14 Sept 2018, AIM SQuaRE programme \Stratifying module categories" with Srikanth Iyengar, Henning Krause, and Julia Pevtsova in San Jos´e,California, USA. 15 Jan to 25 May 2018, Research Professor for the programme on Representation Theory, MSRI, Berkeley, California, USA. 23{27 Jan 2017, AIM SQuaRE programme \Stratifying module categories" with Srikanth Iyengar, Henning Krause, and Julia Pevtsova in San Jos´e,California, USA. 1 Sept to 30 Sept 2016, Invited visitor for the programme on Local Representation Theory and Simple Groups at the Bernoulli Centre, Lausanne, Switzerland. 25 Jun to 6 Aug 2016, Invited visitor at PIMS, Vancouver, Canada. Jan to May 2013, Research Professor for the programme on Commutative Algebra, MSRI, Berkeley, California, USA. 1 Feb to 11 Mar 2012, research visit to Department of Mathematical Sciences, University of Copenhagen, Denmark. 1{14 Jan 2012, Research in Pairs, Oberwolfach, Germany, with Srikanth Iyengar and Henning Krause. 20 July to 2 Aug 2008, Research in Pairs, Oberwolfach, Germany, with Srikanth Iyengar and Henning Krause. CURRICULUM VITÆ 3 Jan to May 2008, Simons Professor for the programme on Representation Theory of Finite Groups and Related Topics, MSRI, Berkeley, California, USA. Sept{Dec 2005, June{July 2006, March{April 2007, June{August 2008, visits to Paderborn University, Germany, supported by the Humboldt Foundation. Feb to April 2005, invited visitor for the programme on Group Representation Theory at the Bernoulli Centre, Lausanne, Switzerland. Sept 2002 to Mar 2003, invited visitor for the programme on Commutative Algebra, MSRI, Berkeley, California, USA. Sept to Dec 1991, research visit to School of Mathematics, University of Minnesota, Min- neapolis, USA. Sept to Dec 1990, invited visitor for the programme on Representations of Finite Groups, MSRI, Berkeley, California, USA. Work address: Institute of Mathematics, University of Aberdeen, Aberdeen AB24 3UE, Scotland, UK. Tel: 01224-273807. Home page: http://homepages.abdn.ac.uk/d.j.benson/pages/ Ph. D. Thesis Supervisor: Prof. J. G. Thompson, Cambridge University Subject: Finite group theory. Title: The Simple Group J4. Date Received: 12th June, 1982. Current Research Interests Cohomology of finite, infinite and compact Lie groups, modular representation theory; connections with algebraic topology, commutative algebra, algebraic geometry, invariant theory for finite groups. Books and Monographs [1] Modular representation theory: New trends and methods. (231 pp.) Springer Lecture Notes in Mathematics 1081, Springer-Verlag, Berlin/New York 1984. MR 0765858 (86g:20013), Zbl 0564.20004 Second edition (with corrections), Springer-Verlag, 2006. [2] Representations and Cohomology, Vol. I: Basic representation theory of finite groups and associative algebras. (xi + 224 pp.) Cambridge Studies in Advanced Mathematics 30, Cambridge University Press, 1991. MR 1110581 (92m:20005), Zbl 0718.20001 Paperback edition (with corrections), Cambridge University Press, 1998. Reprinted 2008. MR 1644252 (99f:20001a), Zbl 0908.20001 [3] Representations and Cohomology, Vol. II: Cohomology of groups and modules. (x + 278 pp.) Cambridge Studies in Advanced Mathematics 31, Cambridge University Press, 1991. MR 1156302 (93g:20099), Zbl 0731.20001 Paperback edition (with corrections), Cambridge University Press, 1998. Reprinted 2008. MR 1634407 (99f:20001b), Zbl 0908.20002 4 DAVID JOHN BENSON [4] (with F. R. Cohen.) Mapping class groups of low genus and their cohomology. (iv + 104 pp.) Memoirs of the Amer. Math. Soc. 443, 1991. MR 1052554 (91g:57002), Zbl 0732:57003 [5] Polynomial Invariants of Finite Groups. (v + 126 pp.) L.M.S. Lecture Notes in Mathematics 190, Cambridge University Press, 1993. Transferred to digital printing, 1999. MR 1249931 (94j:13003), Zbl 0864.13001 [6] Music: A Mathematical Offering. (xiii + 411 pp.) Cambridge University Press, 2006. ISBN 0521619998 (pbk), 0521853877 (hbk), MR 2283500 (2007k:00009), Zbl 1119.00008 Available in pdf from http://homepages.abdn.ac.uk/d.j.benson/html/maths-music.html [7] (with Stephen D. Smith.) Classifying Spaces of Sporadic Groups. (xvi + 285 pp.) Mathematical Surveys and Monographs 147, Amer. Math. Soc., 2008. ISBN 0123444741, MR 2378355 (2009f:55017), Zbl 1135.20001 [8] (with Srikanth Iyengar and Henning Krause.) Representations of Finite Groups: Local Coho- mology and Support. (x + 111 pp.) Oberwolfach Reports 43, Birkh¨auser,2012. ISBN 9783034802598. MR 2951763, Zbl 1246.20002 [9] (with H. Krause and A. Skowro´nski,eds.) Advances in the Representation Theory of Algebras. (378pp.) Proceedings of ICRA 2012, Bielefeld. European Mathematical Society, 2014. ISBN 9783037191255. MR 3235188, Zbl 1279.00041, doi:10.4171/125 [10] Representations of Elementary Abelian p-Groups and Vector Bundles. (xviii + 328pp.) Cambridge Tracts in Mathematics 208, Cambridge University Press, 2017. ISBN 9781107174177, MR 3585474, doi:10.1017/9781316795699 [11] Commutative Banach Algebras and Modular Representation Theory. Submitted to Memoirs of the AMS, 2020. Refereed Papers [12] The Loewy structure of the projective indecomposable modules for A8 in characteristic 2. Comm. in Algebra 11 (13) (1983), 1395{1432. MR 0700572 (84k:20006a), Zbl 0528.20007, doi:10.1080/00927878308822912 [13] The Loewy structure of the projective indecomposable modules for A9 in characteristic 2. Comm. in Algebra 11 (13) (1983), 1433{1453. MR 0700573 (84k:20006b), Zbl 0528.20008, doi:10.1080/00927878308822913 [14] (with R. A. Parker.) The Green ring of a finite group. J. Algebra 87 (1984), 290{331. MR 0739936 (86a:16013), Zbl 0489.20007, Zbl 0539.20009, doi:10.1016/0021-8693(84)90139-X [15] Lambda and psi operations on Green rings. J. Algebra 87 (1984), 360{367. MR 0739939 (86g:16013), Zbl 0539.20011, doi:10.1016/0021-8693(84)90142-X [16] (with J. H. Conway.) Diagrams for modular lattices. J. Pure & Applied Algebra 37 (1985), 111{116. MR 0796403 (87b:06018), Zbl 0575.06008, doi:10.1016/0022-4049(85)90091-X [17] Brauer trees for 12M22. J. Algebra 95 (1985), 398{408. MR 0801275 (87c:20030), Zbl 0574.20009, doi:10.1016/0021-8693(85)90111-5 [18] Some recent trends in modular representation theory. Proceedings of the group theory year at Rutgers, C.U.P. 1985, 249{259. MR 0817257 (86j:20003), Zbl 0648.20014 [19] (with W. Feit and R. Howe.) Finite linear groups, the Commodore 64, Euler and Sylvester. Amer. Math. Monthly 93 (9) (1986), 717{719. MR 0863974 (87m:05011), Zbl 0611.10013, doi:10.2307.2322289 [20] Modules for finite groups: representation rings, quivers and varieties. Three lectures given at the Fourth International Conference on the Representations of Algebras (ICRA IV). Representation The- ory II, Groups and Orders, Ottawa 1984. Springer Lecture Notes in Mathematics 1178, 1{24. Springer- Verlag, Berlin/New York 1986. MR 0842476 (87m:20031),