Stephen Doty
 
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Curriculum Vitae

History of Academic Appointments

  • 9/94–Present: Professor, Loyola University Chicago.
  • 9/89–9/94: Associate Professor, Loyola University Chicago. 
  • 9/87–9/89: Assistant Professor, Loyola University Chicago.
  • 9/85–5/87: Kenna Assistant Professor, University of Notre Dame.
  • 9/82–8/85: Assistant Professor, University of Washington (Seattle).

Visiting Appointments

  • 1/09--7/09: Mercator Professor, Bielefeld University and University of Kiel (supported by a grant from the Deutsche Forschungsgemeinschaft (Germany).
  • 2/08–4/08: Member, Mathematical Sciences Research Institute, Berkeley, California; Program on Representations of Finite Groups and Related Topics.
  • 1/93–6/93: Visiting Associate Professor, University of Washington (Seattle).
  • 9/90–12/90: Member, Mathematical Sciences Research Institute, Berkeley, California; Program on Algebraic Groups and Related Topics.

Fellowships and Research Visits

  • Osaka City University, 10–24 May 2008.
  • Magdalene College, Cambridge University, Yip Fellow, May – June 2007.
  • Beijing Institute of Technology, 11 June – 9 July 2006.
  • Cambridge University, 19 May – 30 June 2004.
  • Cambridge University, June 2003.
  • Lancaster University, May 2003.
  • University of Stuttgart, April 2003.
  • Oxford University, EPSRC Research Fellow, 15 November 2002 – 23 March 2003.
  • University of Leicester, EPSRC Research Fellow, 15 October – 14 November 2002.
  • Stuttgart University, 15 September – 14 October 2002.
  • Mathematisches Forschungsinstitut Oberwolfach, Research-In-Pairs, 25 August – 14 September 2002.
  • University of Kassel, 21–27 November 1999.
  • University of Bielefeld, 9–21 August 1999.
  • Aarhus University, 27 July – 17 August 1998.
  • Queen Mary College, University of London, SERC Research Fellow, June 1991.
  • Aarhus University, July 1990.
  • Tata Institute of Fundamental Research, (Bombay, India), December 1989.
  • University of Manchester, SERC Research Fellow, 13 July – 26 August 1988.

Educational History

  • Ph.D., Mathematics, May 1982, University of Notre Dame (Ph.D. supervisor: Warren J. Wong;  Prize: A.J. Schmitt Fellowship, 1981–82).
  • M.S., Mathematics, May 1978, Southern Illinois University.
  • B.S., Mathematics, January 1977, University of Wisconsin.

Externally Funded Research Grants

  • Deutsche Forschungsgemeinschaft (Germany), Mercator Guest Professorship, 2 January 2009 -- 31 July 2009.
  • National Security Agency MSPF-02G-086, Problems in Lie theory and deformation theory, 1 March 2003 – 31 August 2005.
  • National Science Foundation DMS-9401576, Representation theory of reductive groups and monoids, 1 June 1994 – 31 May 1997.
  • National Security Agency MDA904-92-H-3065, Modular symmetric functions and representation theory, 15 June 1992 – 14 June 1994.

Internal Research Grants

  • Loyola University Chicago, Research Support Grant, Algebraic representation theory, 1 June 2000 – 31 May 2001.
  • Loyola University Chicago, Research Support Grant, Algebraic representation theory, 1 June 1998 – 31 May 1999.
  • Loyola University Chicago, Representation theory of general linear groups, Summer Stipend 1991.
  • Loyola University Chicago, Research Support Grant, Representation theory of general linear groups, 1 June 1990 – 31 May 1991.

Colloquium Lectures

  • 15 November 1985: Modular representations of algebraic groups, University of Wisconsin-Milwaukee.
  • 4 November 1988: Modular representations of general linear groups, University of Notre Dame.
  • 19 November 1992: Modular symmetric functions and representation theory, University of Notre Dame.
  • 9 June 1993: Topics in representation theory, University of British Columbia.
  • 24 October 1995: Schur algebras and algebraic monoids, DePaul University.
  • 1 November 1996: Schur algebras and generalizations, University of Wisconsin-Milwaukee.
  • 15 April 1999: Invariants, representations, combinatorics, and algebras, Kansas State University.
  • 17 November 2000: Polynomial representations, Utah State University.
  • 28 November 2002: New versions of Schur-Weyl duality, London Algebra Colloquium, Queen Mary College, University of London.
  • 19 December 2002: New versions of Schur-Weyl duality, Bristol-London-Oxford Colloquium (BLOC), Oxford University.
  • 4 March 2004: New versions of Schur-Weyl duality, University of South Alabama.
  • 11 October 2004: New versions of Schur-Weyl duality, University of Colorado (Boulder).
  • 6 July 2006: Symmetry and Representations, Undergraduate Colloquium, Beijing Institute of Technology, China.
  • 8 March 2007: Diagram algebras, University of Washington (Seattle).
  • 6 November 2007: Constructing quantum groups via finite dimensional algebras, DePaul University, Chicago.
  • 12–16 May 2008: Generalized q-Schur algebras, series of five lectures, Osaka City University, Osaka, Japan.

Invited Conference Presentations

  • The 34th American Mathematical Society Summer Research Institute, on Representation Theory of Finite Groups and Related Topics, Arcata, California, July 7–25, 1986.
  • The 830th meeting of the American Mathematical Society, Denton, Texas, October 31–November 1, 1986.
  • London Mathematical Society Symposium on Representations of Algebraic Groups and Related Topics, Durham, England, July 14–24, 1987.
  • Cohomology and Representation Theory of Finite and Algebraic Groups, Athens, Georgia, January 3–5, 1988.
  • The 840th meeting of the American Mathematical Society, East Lansing, Michigan, March 18–19, 1988.
  • Finite and Algebraic Groups: Modular Representations and Cohomology, Arcata, California, July 8–14, 1989.
  • Algebraic Groups and Applications, Hyderabad, India, December 8–18, 1989.
  • The 891st meeting of the American Mathematical Society, Manhattan, Kansas, March 25–26, 1994.
  • Midwest Group Theory Meeting, Chicago, April 16, 1994.
  • The 895th meeting of the American Mathematical Society, Stillwater, Oklahoma, October 28–29, 1994.
  • The 908th meeting of the American Mathematical Society (joint annual meeting), Orlando, Florida, January 9–13, 1996.
  • The 911th meeting of the American Mathematical Society, Baton Rouge, Louisiana, April 19–21, 1996.
  • 1996 AMS Summer Research Institute, Cohomology, Representations and Actions of Finite Groups, University of Washington, Seattle, Washington, July 7–27, 1996.
  • The 927th meeting of the American Mathematical Society, Milwaukee, Wisconsin, October 24–25, 1997.
  • The 932nd meeting of the American Mathematical Society, Manhattan, Kansas, March 27–28, 1998.
  • Conference on Quadratic Forms and Orthogonal groups, Notre Dame, Indiana, May 2–4, 1998.
  • The 943rd meeting of the American Mathematical Society, Buffalo, New York, April 24–25, 1999.
  • Summer School and Workshop on Hall Algebras and Quantum Groups, Hesselberg, Germany, August 22–29, 1999.
  • Conference on Representations of Algebraic Groups, Luminy, France, November 15–19, 1999.
  • The 953rd meeting of the American Mathematical Society, Notre Dame, Indiana, April 7–9, 2000.
  • Conference on Cohomology and Computational Algebra, Athens, Georgia, May 14–19, 2000.
  • Joint Mathematics Meetings, New Orleans, January 10–13, 2001.
  • Series of 3 lectures, Workshop on Schur Algebras and Quantum Groups, Mathematisches Forschungsinstitut Oberwolfach, Germany, February 25 – March 3, 2001.
  • Midwest Algebra and Representation Theory Conference, DePaul University, Chicago, December 2, 2001.
  • Series of 5 lectures, Representation Theory Workshop, Blaubeuren, Germany, 7–11 October 2002.
  • Workshop on Representation Theory, University of Leicester, England, 1 November 2002.
  • Tagung Tilting: Twenty Years of Tilting Theory, Fraueninsel, Germany, November 18–22, 2002.
  • Seventh London Mathematical Society Workshop on Quantum Groups and Noncommutative Geometry, University of Warwick, England, 8 February 2003.
  • Darstellungen endlicher Gruppen, Mathematisches Forschungsinstitut Oberwolfach, Germany, 23–29 March 2003.
  • Series of lectures, Representation Theory Workshop, Blaubeuren, Germany, 22–25 April 2003.
  • North British Quantum Groups Collective, 17th meeting, Edinburgh, Scotland 2–3 May 2003.
  • The 991st meeting of the American Mathematical Society, Chapel Hill, NC, October 24–25, 2003.
  • Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Snowbird, Utah, July 11–15, 2004.
  • Cellular and diagram algebras in mathematics and physics, Workshop, University of Oxford, April 3 - 9, 2005.
  • Workshop in Lie theory and representation theory, East China Normal University, Shanghai, China, July 10–12, 2006.
  • Themes in the interface of representation theory and physics, 11–15 December 2006, Centre for Mathematical Science, City University, London.
  • Representations, Cohomology and Support Spaces, 29 April – 1 May 2007, Bielefeld, Germany.
  • Workshop on Highest Weight Categories Arising From Algebraic Groups, 20 and 27 April 2009, Bielefeld, Germany (series of four lectures).
  • Workshop Nord-West-Deutscher-Darstellungs-Ring 13, 5–6 June 2009, Christian-Albrechts-Universität zu Kiel, Germany.

External Seminars

  • 20 October 1986: Algebra Seminar, University of Massachusetts (Amherst).
  • 4 November 1987: Algebra Seminar, University of Illinois (Urbana).
  • 18 February 1988: Group Theory Seminar, University of Chicago.
  • 6 December 1988: Algebra Seminar, Northwestern University.
  • 18 March 1989: Group Theory Seminar, University of Chicago.
  • 21 December 1989: Representation Theory Seminar, Tata Institute of Fundamental Research, Bombay, India.
  • 8 June 1990: Algebra Seminar, Aarhus University, Denmark.
  • 4 October 1990: Representation Theory Seminar, Mathematical Sciences Research Institute, Berkeley, California.
  • 16 October 1990: Algebra Seminar, University of Washington (Seattle).
  • 11 June 1991: Algebra Seminar, Cambridge University.
  • 17 June 1991: Algebra Seminar, Queen Mary and Westfield College, University of London.
  • 21 June 1991: Topology Seminar, University of Manchester, England.
  • 26 November 1991: Algebra Seminar, Northwestern University.
  • 14 February 1992: Lie Theory Seminar, University of Wisconsin (Madison).
  • 19 November 1992: Algebra Seminar, University of Notre Dame.
  • 11 January 1994: Algebra Seminar, Northwestern University.
  • 2 May 1994: Lie Theory Seminar, University of Wisconsin (Madison).
  • 9 March 1995: Group Theory Seminar, University of Chicago.
  • 6 February 1996: Algebra Seminar, Northwestern University.
  • 8 March 1996: Lie Theory Seminar, University of Wisconsin (Madison).
  • 18 February 1997: Algebra Seminar, Northwestern University.
  • 7 November 1997: Lie Theory Seminar, University of Wisconsin (Madison).
  • 12,13,16 August 1999: 3 lectures, Representation Theory Seminar, Bielefeld University, Germany.
  • 25 November 1999: Representation Theory Seminar, University of Kassel, Germany.
  • 8 September 2000: Representation Theory Seminar, University of Leicester, England.
  • 24 September 2002: Algebra Seminar, University of Stuttgart, Germany.
  • 4 November 2002: Quantum Algebra Seminar, Queen Mary College, University of London.
  • 7 November 2002: Pure Mathematics Seminar, University of Birmingham, England.
  • 8 November 2002: Pure Mathematics Seminar, Lancaster University, England.
  • 14 November 2002: Pure Mathematics Seminar, University of Leicester, England.
  • 3 December 2002: Algebra Seminar, University of Manchester, England.
  • 28 January 2003: Algebra Seminar, Oxford University, England.
  • 13 February 2003: Representation Theory Seminar, Oxford University, England.
  • 11 June 2003: Algebra Seminar, Cambridge University, England.
  • 3 March 2004: Algebra Seminar, University of Georgia.
  • 5 March 2004: Algebra Seminar, University of South Alabama.
  • 12 October 2004: Coxeter Groups Seminar, University of Colorado, Boulder.
  • 6 May 2005: Rocky Mountain Algebraic Combinatorics Seminar, Colorado State University, Fort Collins.
  • 1 June 2005: Algebra Seminar, DePaul University.
  • 15 November 2005: Algebra Seminar, Northwestern University.
  • 16–30 June 2006: Series of 5 lectures at Beijing Institute of Technology, China.
  • 21 June 2006: Algebra Seminar, Beijing Normal University, China.
  • 9 May 2007: Algebra Seminar, Cambridge University.
  • 24 May 2007: Representation Theory Seminar, Oxford University.
  • 6 June 2007: Algebra Seminar, University of York.
  • 14 June 2007: Algebra Seminar, University of Aberdeen.
  • 25 October 2007: Group Theory Seminar, University of Chicago.
  • 17 January 2008: Representation Theory Seminar, Oxford University.
  • 28 January 2008: Algebra Seminar, University of Illinois at Chicago.
  • 27 February 2008: Seminar on representations of finite groups of Lie type, Mathematical Sciences Research Institute, Berkeley, California.
  • 21 May 2008: Representation Theory Seminar, Nagoya University, Nagoya, Japan.
  • 23 Jan 2009: Seminar Darstellungstheorie von Algebren, Universität Bielefeld, Germany.
  • 6 Feb 2009: Seminar Darstellungstheorie von Algebren, Universität Bielefeld, Germany.
  • 16 April 2009: Representation Theory Seminar, Universität Paderborn, Germany.
  • 28 April 2009: Oberseminar Algebra, Universität zu Köln, Germany.
  • 4 May 2009: Representation Theory Seminar, Mathematical Institute, University of Bonn, Germany.
  • 10 June 2009: Mercator Seminar, Christian-Albrechts-Universität zu Kiel, Germany.
  • 24 June 2009: Mercator Seminar, Christian-Albrechts-Universität zu Kiel, Germany.
  • 10 July 2009: Emmy Noether Seminar, Friedrich Alexander Universität Erlangen-Nürnberg, Germany.

Undergraduate Courses Taught

  • Mathematics: College Algebra, Discrete Mathematics, Finite Mathematics, Calculus, Differential Equations, Vector Analysis, Statistics, Mathematical Logic, Linear Algebra, Advanced Linear Algebra, Mathematica Seminar, Number Theory, Combinatorics, Abstract Algebra, Cryptography, Real Analysis, Complex Analysis.
  • Computer Science: Structured Programming, Object-oriented Programming, Discrete Structures, Mathematica Seminar, Data Structures, Computer Architecture, Cryptography, Programming Languages, Theory of Computation.

Graduate Courses Taught

  • Mathematics: Abstract Algebra, Representation Theory, Cryptography, Lie Algebras.
  • Computer Science: Cryptography, Theory of Programming Languages, Automata and Formal Languages.

University Administrative Service

  • Chair, Math Hiring Committee, Loyola University Chicago, 1994–8.
  • University Research Committee, Loyola University Chicago, 1998–9.
  • Supervisor, Mulcahy Undergraduate Research Experience, Loyola University Chicago, 2001–2.
  • Chair, Math Hiring Committee, Loyola University Chicago, 2003-4.
  • Strategic Goals Committee, Graduate School, Loyola University Chicago, 2005–06.
  • Graduate Program Director, Department of Mathematics & Statistics, Loyola University Chicago, August 2004 – January 2008.
  • Chair, Bylaws Committee, Graduate Council, 2006–07.
  • Member, Executive Committee of Graduate Council, 2006–07.
  • Member, Carbon Scholars Selection Committee, 2007-08.
  • Elected Member, Board of Undergraduate Studies, Loyola University Chicago, 2009-10.

Service to the Profession

  • Reviewer for Mathematical Reviews; peer reviewer for the National Science Foundation; peer reviewer for the National Security Agency; peer reviewer for U.S. Civilian Research & Development Foundation; peer reviewer for Natural Sciences and Engineering Research Council, Canada.
  • Referee for various journals, including Advances in Mathematics, American Journal of Mathematics, Algebraic Colloquium, Communications in Algebra, Israel Journal of Mathematics, Journal of Algebra, Journal of Algebraic Combinatorics, Journal of Pure and Applied Algebra, Pacific Journal of Mathematics, Proceedings of the American Mathematical Society, Transactions of the American Mathematical Society, London Mathematical Society, Transformation Groups.
  • Conferences Organized:
    1. Special Session on Algebraic Groups and Related Topics, 849th Meeting of the American Mathematical Society, Loyola University Chicago, 19–20 May 1989.
    2. (with K. Peters, D. Nakano): Special Session on Lie Theory, 900th Meeting of the American Mathematical Society, DePaul University, 24–25 March 1995.
    3. (with A. Giaquinto): Special Session on Algebraic Representations and Deformations, 1001st Meeting of the American Mathematical Society, 23–24 October 2004.
    4. (with L. Renner, M. Brion, and E.B. Vinberg): Group Embeddings: Geometry and Representations, Workshop, Banff International Research Station, 16–21 September 2007.

Community Service

  • In 1988–9, taught a computer science course for inner-city high school minorities, in the National Science Foundation’s Young Scholors Program. The course met every Saturday for 9 months.

Recent Professional Meetings Attended

  • The 953rd meeting of the American Mathematical Society, Notre Dame, Indiana, April 7–9, 2000.
  • Conference on Cohomology and Computational Algebra, Athens, Georgia, May 14–19, 2000.
  • Combinatorics of Lie Type, Madison, Wisconsin, June 16–22, 2000.
  • Summer School and Workshop on Geometry of Quiver Representations, Isle of Thorn, England, September 10–17, 2000.
  • Joint Mathematics Meetings, New Orleans, January 10–13, 2001.
  • Mini-workshop: Schur Algebras and Quantum Groups, Mathematisches Forschungsinstitut Oberwolfach, Germany, February 25–March 3, 2001.
  • Midwest Lie Algebras and Related Topics Conference, DePaul University, October 6–7, 2001.
  • Midwest Algebra and Representation Theory Conference, DePaul University, December 1–2, 2001.
  • Representation Theory Workshop, Blaubeuren, Germany, October 7–11, 2002.
  • Workshop on Representation Theory, University of Leicester, November 1, 2002.
  • Tagung Tilting: Twenty Years of Tilting Theory, Fraueninsel, Germany, November 17–22, 2002.
  • Seventh London Mathematical Society Workshop on Quantum Groups and Noncommutative Geometry, University of Warwick, Coventry, England, February 8, 2003.
  • Darstellungen endlicher Gruppen, Mathematisches Forschungsinstitut Oberwolfach, Germany, March 23–29, 2003.
  • Representation Theory Workshop, Blaubeuren, Germany, April 22–25, 2003.
  • North British Quantum Groups Collective, Edinburgh, Scotland, 2–3 May 2003.
  • The 991st meeting of the American Mathematical Society, Chapel Hill, NC, October 24–25, 2003.
  • Conference on Groups, Representations and Galois Theory in Honor of Walter Feit, Yale University, New Haven, CT, October 30 – November 2, 2003.
  • BLOC: Bristol Leicester Oxford Colloquium, Bristol, U.K., 4 June 2004.
  • London Maths Society Workshop on Quantum Groups and Noncommmutative Geometry, DAMTP, Centre for Mathematical Sciences, University of Cambridge, 12 June 2004.
  • Ferrara algebra workshop, Department of Mathematics, Univ di Ferrara, Italy, June 16–19, 2004.
  • Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Snowbird, Utah, July 11–15, 2004.
  • Algebraic Cycles, K-Theory, and Modular Representation Theory, Northwestern University, September 16–19, 2004.
  • The 1001st meeting of the American Mathematical Society, Evanston, Illinois, October 23–24, 2004.
  • Cellular and diagram algebras in mathematics and physics, Workshop, Oxford, April 3–9, 2005.
  • Workshop in Lie theory and representation theory, East China Normal University, Shanghai, China, July 10–12, 2006.
  • Themes in the interface of representation theory and physics, 11–15 December 2006, Centre for Mathematical Science, City University, London.
  • Representations, Cohomology and Support Spaces, 29 April – 1 May 2007, Bielefeld, Germany.
  • LieGrits Workshop, Flags, Quivers and Invariant Theory in Lie Representation Theory, 3–9 January 2008, Oxford University.
  • University of California Lie Theory Workshop, February 16–18, 2008, University of California, San Diego.
  • Introductory Workshop on the Representation Theory of Finite Groups, February 4–8, 2008, Mathematical Sciences Research Institute, Berkeley, California.
  • Lie Theory, March 10–14, 2008, Mathematical Sciences Research Institute, Berkeley, California.
  • Topics in Combinatorial Representation Theory, March 17–21, 2008, Mathematical Sciences Research Institute, Berkeley, California.
  • Homological Methods in Representation Theory, March 31 – April 04, 2008, Mathematical Sciences Research Institute, Berkeley, California.
  • Workshop on Quiver Varieties III, 17 January 2009, Bielefeld University, Germany.
  • Workshop on Highest Weight Categories Arising From Algebraic Groups", 20 and 27 April 2009, Universität Bielefeld, Germany.
  • Workshop Nord-West-Deutscher-Darstellungs-Ring 13, 5–6 June 2009, Christian-Albrechts-Universität zu Kiel, Germany.