Dr. Christopher Bendel

Professor, University of Wisconsin- Stout
Department Chair, University of Wisconsin-Stout
Mathematics, Statistics & Computer Science Department
College of Science, Technology, Engineering and Mathematics

Office: 231G Jarvis Hall-Science Wing
Phone: 715-232-2682
Email: bendelc@uwstout.edu
Personal website: www.uwstout.edu/faculty/bendelc/

Teaching Interests: Mathematics, at all levels

Research Interests: Mathematics: cohomology and representation theory of algebraic groups, Lie algebras, finite groups, and related structures

Education

    • Ph D Mathematics
      Northwestern University
      Evanston, IL, 1996
    • MS Mathematics
      Northwestern University
      Evanston, IL, 1993
    • BA Mathematics
      University of St. Thomas
      St. Paul, MN, 1991

Work Experience

    Academic - Post-Secondary

      • University of Wisconsin- Stout
        Professor
        Present
      • University of Wisconsin-Stout, Mathematics, Statistics, and Computer Science Department
        Department Chair
        August 2006 -
      • University of Wisconsin- Stout
        Associate Professor
        August 2003 - July 2009
      • University of Virginia, Mathematics
        Visiting Research
        January 2007 - May 2007
      • University of Wisconsin- Stout
        Assistant Professor
        Present
      • University of Notre Dame, Department of Mathematics
        Visiting Assistant Professor
        1997 - 1999
      • Northwestern University
        Visiting Assistant Professor
        1996 - 1997
      • Northwestern University
        Instructor
        September 1995 - May 1996
      • Oakton Community College
        Instructor
        1993 - 1995
      • Northwestern University
        Teaching Assistant
        September 1991 - June 1995

Intellectual Contributions

    Conference Proceeding

    • Bendel, C., Nakano, D. K., & Pillen, C. (Accepted). Third cohomology for Frobenius kernels. Proceedings of Symposia in Pure Mathematics, American Mathematical Society.
    • Bendel, C., Boe, B. D., Drupeiski, C. M., Nakano, D. K., Parshall, B. J., Pillen, C., & Wright, C. B. (2014). Bounding the dimensions of rational cohomology groups. Developments in Mathematics, 38, 51-69, Springer.
    • Basyrov, A. K., Bendel, C., Dutter, S. C., & Jones, B. F. (2012). Improving Mathematics Success Through Enhanced Support Services. ASQ Advancing the STEM Agenda in Education, the Workplace and Society, ASQ.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2004). Extensions for finite groups of Lie type: twisted groups. Finite Groups 2013, 29-46, Walter de Gruyter GmbH & Co. KG, Berlin.

    Journal Article

    • Bendel, C., Nakano, D. K., Parshall, B. J., Pillen, C., Scott, L. L., & Stewart, D. I. (2015). Bounding cohomology for finite groups and Frobenus kernels. Algebras and Representation Theory, 18, 739-760.
    • Bendel, C., Nakano, D. K., Parshall, B. J., & Pillen, C. (2014). Cohomology for quantum groups via the geometry of the nullcone. Memoirs of the American Mathematical Society, 229(1077), x+93.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2014). Extensions for finite Chevalley Groups III: Rational and generic cohomology. Advances in Mathematics, 262, 484-519.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2011). On the vanishing ranges for the cohomology of finite groups of Lie type. International Mathematics Research Notices, doi:10.1093/imrn/rnr130.
    • Bendel, C. (2011). On the Vanishing Ranges for the Cohomology of Finite Groups of Lie Type. International Mathematics Research Notices.
    • Bendel, C. (2008). Computational mathematics: an opportunity for mathematical research. Council on Undergraduate Research Quarterly, 29(1), 48-51.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2007). Second cohomology groups for Frobenius kernels and related structures. Advances in Mathematics, 209(1), 162–197.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2004). Extensions for finite Chevalley groups. I. Advances in Mathematics, 183(2), 380–408.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2004). Extensions for Frobenius kernels. Journal of Algebra, 272(2), 476–511.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2002). Extensions for finite Chevalley groups. II. Transactions of the American Mathematical Society, 354(11), 4421–4454 (electronic).
    • Bendel, C. (2001). Cohomology and projectivity of modules for finite group schemes. Mathematical Proceedings of the Cambridge Philosophical Society, 131, 405-425.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2001). On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels. Journal of Pure and Applied Algebra, 163(2), 119–146.
    • Bendel, C. (2001). Projectivity of modules for infinitesimal unipotent group schemes. Proceedings of the American Mathematical Society, 129(671-676).
    • Bendel, C., & Nakano, D. K. (1999). Complexes and vanishing of cohomology for group schemes. Journal of Algebra, 214, 668-713.
    • Bendel, C. (1999). Generalized reduced envelopeing algebras for restricted Lie algebras. Journal of Algebra, 218, 373-411.
    • Suslin, A., Friedlander, E. M., & Bendel, C. (1997). Infinitesimal 1-parameter subgroups and cohomology . Journal of the American Mathematical Society, 10, 693-728.
    • Suslin, A., Friedlander, E. M., & Bendel, C. (1997). Support varieties for infinetesimal group schemes. Journal of the American Mathematical Society, 10, 729-759.

    Book, Chapter

    • Bendel, C., Nakano, D. K., & Pillen, C. (2012). On the vanishing ranges for the cohomology of finite groups of L}ie type II. Proceedings of Symposia in Pure Mathematics, 86, 25-73, Providence, RI: American Mathematical Society.
    • Bendel, C., Nakano, D. K., & Pillen, C. (2006). Extensions for finite groups of Lie type. II. Filtering the truncated induction functor. Contemporary Mathematics, 413, 1–23, Providence, RI: American Mathematical Society.

Presentations

    Uncategorized

    • Bendel, C. (January, 2016). Third cohomology for algebraic groups and Lie algebras. Joint Mathematics Meetings - AMS Special Session, Seattle, WA, United States.
    • Bendel, C. (March, 2015). Third Cohomology for Algebraic Groups and Lie Algebras. Southwestern Group Theory Day, Tucson, AZ.
    • Bendel, C. (May, 2014). Cohomology of finite groups of Lie type. Representation Theory and K-Theory, Los Angeles, CA.
    • Bendel, C. (January, 2013). Extensions and Cohomology for Finite Groups of Lie Type. University of South Alabama Algebra Seminar, Mobile, AL.
    • Basyrov, A., Bendel, C., Dutter, S., & Jones, B. F. (July, 2012). Improving Mathematics Success Through Enhanced Support Services. 2012 ASQ Advancing the STEM Agenda in Education, the Workplace and Society Conference, Menomonie, WI.
    • Bendel, C. (June, 2012). Extensions and Cohomology for Finite Groups of Lie Type. AIM Workshop: Cohomology bounds and growth rates, Palo Alto, CA.
    • Bendel, C. (May, 2011). Vanishing ranges for the cohomology of finite groups of Lie type. Retirement Symposium in Honor of Dr. John Kemper, St. Paul, MN.
    • Becker, J., Bendel, C., & Ghenciu, P. (April, 2011). Navigating College Mathematics without a GPS. Wisconsin MAA Spring Meeting, Menomonie, WI.
    • Bendel, C. (May, 2010). Vanishing Ranges for the Cohomology of Finite Groups of Lie Type. Southeastern Lie Theory Conference, Athens, GA.
    • Bendel, C. (January, 2010). Vanishing Ranges for the Cohomology of Finite Groups of Lie Type. Joint Mathematics Meetings - AMS Special Session, San Francisco, CA.
    • Bendel, C. (April, 2009). Cohomology of Frobenius kernels and vanishing of line bundle cohomology. AMS Eastern Section Meeting - Special Session, Raleigh, NC.
    • Becker, J., Bendel, C., & Schroeder, H. (August, 2008). Calculus, One Lesson Study at a Time. MathFest, Madison, WI.
    • Bendel, C. (June, 2007). Cohomology of Lie Algebras. UW-Eau Claire Summer Mathematics Workshop, Eau Claire, WI.
    • Bendel, C. (March, 2007). Quantum Group Cohomology. AMS Eastern Section Meeting - Special Session, Davidson, NC.
    • Bendel, C. (February, 2007). Cohomology of Algebraic Groups and Lie algebras. University of Virginia Algebra Seminar, Charlottesville, VA.
    • Bendel, C. (January, 2007). Quantum Group Cohomology. Joint Mathematics Meetings - AMS Special Session, New Orleans, LA.
    • Becker, J., Bendel, C., Ghenciu, P., Schmidt, L., & Teleb, R. (April, 2006). Lesson Study in Calculus. MAA Wisconsin Section Spring Meeting, Whitewater, WI.
    • Bendel, C. (January, 2006). Cohomology of Lie algebras and quantum groups. Northwestern University Algebra Seminar, Evanston, IL.
    • Christie, D., Bendel, C., Ghenciu, P. I., Schmidt, L. J., & Becker, J. (January 17, 2006). Lesson study. UW-Stout professional development day, Menomonie, WI, United States.
    • Bendel, C. (June, 2005). Cohomology of Lie algebras and Frobenius kernels. Groups, Rings and Algebras, Madison, WI.
    • Bendel, C. (January, 2005). Cohomology of Frobenius kernels and Lie algebras. Joint Mathematics Meetings - AMS Special Session, Atlanta, GA.

Grants, Contracts, and Sponsored Research

    Grant

    • Bendel, C. Cohomology of finite groups of Lie type and algebraic groups. Sponsored by Simons Foundation, $35000 (Funded).
    • Klefstad, J., Broeren, C., Bendel, C., Ghenciu, P. I., Little, A. M., & Zimmerman, T. A. Implementation, evaluation, and assessment of the Common Core Standards utilizing a professional learning community (PLC) framework in small, rural school districts. Sponsored by Wisconsin ESEA Improving Teacher Quality Program, $374521 (Not Funded).
    • Basyrov, A., Bendel, C., Dutter, S., Horak, M., Jones, B. F., & Schmidt, L. UW System Closing the Achievement Gap Grant: Improving Mathematics Sucess Through Enhanced Support Services. Sponsored by University of Wisconsin System, $30000 (Funded).
    • Becker, J., Bendel, C., & Ghenciu, P. Collaboration with the Menomonie High School community to enrich college preparation in the area of Mathematics. Sponsored by UW System and UW-Stout Provost's office, $65000 (Funded).
    • Bendel, C. RUI: Modular Representations of Algebraic Groups and Related Strutures. Sponsored by National Science Foundation, $155568 (Funded).
    • Bendel, C. Cohomology and Representation Theory of Finite Group Schemes. Sponsored by National Security Agency, $26000 (Funded).

Reviewer / Editor

    Reviewer, Journal

    • Math Reviews

      Write brief reviews of journal articles. (2002 - Present)

    • Zentralblatt MATH

      Write short reviews of journal articles. (2001 - Present)

    Referee

    • Various mathematical journals

      Serve as referee for journal article. (1999 - Present)

    Editor, Journal Editor

    • Journal of Pure and Applied Algebra Volume 206

      Guest editor for special issue. (2004 - 2005)

Awards, Fellowships, Honors, and Scholarships

    Award

    • MAA Wiscsonsin Section Distinguished Teaching Award, Mathematical Association of America Wisconsin Section (April 2013)
    • Outstanding Researcher Award, University of Wisconsin-stout (2006)
    • Outstanding Teaching Award, University of Wisconsin-stout (2005)

    Honor

    • Tenure, University of Wisconsin- Stout (2004)

    Fellowship

    • Project NExT Wisconsin Fellow, Mathematical Association of America Wisconsin Section (1999)

Professional Memberships

  • American Mathematical Society
  • Mathematical Association of America

Service

    Department / School

    • Committee Member, Curriculum Committee (September 2005 - Present)
    • Committee Chair, Search Committee (September 2015 - May 2016)
    • Committee Chair, Search Committee (September 2014 - May 2015)
    • Committee Member, General Education Task Force (2013 - 2014)
    • Organizer, MSCS Department Research and Teaching Seminar (September 2007 - December 2014)
    • Committee Member, Textbook Committee (various) (2001 - 2013)
    • Committee Chair, Search Committee (September 2012 - May 2013)
    • Committee Chair, Search Committee (September 2011 - May 2012)
    • Committee Member, Search Committee (September 2010 - May 2011)
    • Committee Member, Search Committee (September 2008 - May 2009)
    • Committee Member, Search Committee (September 2006 - December 2006)
    • Committee Member, Faculty Senate - Departmental Representative (September 2003 - August 2006)
    • Committee Member, Search Committee (two) (September 2005 - May 2006)
    • Organizer, MSCS Department Research and Teaching Seminar (2003 - May 2006)

    College

    • Committee Member, STEM College Council (July 2008 - Present)

    University

      UW Stout

      • Advisory Board Member, Customized Instruction Advisory Board (September 2014 - Present)
      • Advisory Board Member, Industrial and Applied Mathematics Program Advisory Board (September 2014 - Present)
      • Committee Member, Planning and Review Committee (September 2014 - Present)
      • Committee Member, HR Work Group (September 2012 - Present)
      • Advisory Board Member, Manufacturing Engineering Program Advisory Board (September 2011 - Present)
      • Advisory Board Member, Plastics Engineering Program Advisory Board (February 2010 - Present)
      • Advisory Board Member, Game Design and Development Program Advisory Board (January 2009 - Present)
      • Committee Member, Faculty Senate Elections Committee (September 2007 - Present)
      • Advisory Board Member, Applied Mathematics and Computer Science Program Advisory Board (September 2006 - Present)
      • Advisory Board Member, Engineering Technology Program Advisory Board (January 2005 - Present)
      • Faculty Advisor, Advisor for Applied Mathematics and Computer Science Students (September 1999 - Present)
      • Committee Member, Search Committee for Registrar (2016)
      • Committee Member, Search Committee for Dean of STEMM College (2015 - 2016)
      • Committee Member, All University Full Professor Committee (September 2015 - January 2016)
      • Committee Member, Search Committee for Dean of STEM College (2013 - 2014)
      • Alternate, Faculty Senate General Education Committee (September 2011 - May 2014)
      • Committee Member, All University Full Professor Committee (September 2013 - January 2014)
      • Committee Member, Classroom Utilization Subcommittee (July 2013 - December 2013)
      • Committee Member, Search Committee for Director of Instructional Resources (2010 - 2011)
      • Committee Member, All University Full Professor Committee (September 2010 - January 2011)
      • Advisory Board Member, Vocational Rehabilitation (M.S.) Program Advisory Board (September 2005 - May 2010)
      • Committee Member, Search Committee for Dean of STEM College (2008 - 2009)
      • Committee Member, Sabbatical Leave Review Committee (September 2007 - May 2009)
      • Faculty Mentor, Undergraduate Student Reserach (September 2004 - May 2009)
      • Committee Member, Faculty Senate Elections Committee (September 2003 - December 2006)
      • Alternate, Faculty Senate Curriculum Committee (September 2003 - August 2005)
      • Committee Member, Faculty Senate Positive Action Committee (September 1999 - August 2003)
      • Committee Vice Chair, Faculty Senate Personnel Policies Committee (September 2002 - May 2003)
      • Committee Member, Faculty Senate Personnel Policies Committee (September 2000 - May 2002)

    Professional

    • Co-organizer, American Mathematical Society Central Section Meeting: Special Session on Cohomology and Representation Theory of Groups and Related Structures (September 2014)
    • Summer School and Workshop on Cohomology and Support in Representation Theory and Related Topics (July 2012 - August 2012)
    • Co-organizer, Wisconsin Section of Mathematical Association of America Spring Meeting (April 2011)
    • Conference Co-organizer, Wisconsin Section of Mathematical Association of America (February 2011)
    • Facilitator, NSF VIGRE Summer School on Homological Methods in Representation Theory (May 2010)
    • Co-organizer, American Mathematical Society Central Section Meeting: Special Session on Cohomology and Representation Theory of Algebraic Groups and Related Structures (April 2010)
    • Co-organizer, American Mathematical Society Central Section Meeting: Special Session on Computation in Modular Representation Theory and Cohomology (October 2008)
    • Co-organizer, American Institute of Mathematics Workshop on Cohomology and representation theory of finite groups of Lie type: computational methods (June 2007)
    • Co-organizer, Conference on Algebraic Cycles, K-theory, and Modular Representation Theory (September 2004)
    • Co-organizer, American Mathematical Society Central Section Meeting: Special Session on Representations of Groups and Related Objects (April 2000)