William T. Sanders Norwegian University of Science and Technology Department of Mathematics 7491 Trondheim, Norway william.sanders@ntnu.no www.folk.ntnu.no/williats.html Areas of interest Commutative Algebra Homological Algebra Category Theory Employment Norwegian University of Science and Technology Postdoctoral Fellow 2015-Present Education Ph.D. Mathematics The University of Kansas 2015 Advisor: Hailong Dao Thesis Title: Categorical and homological aspects of module theory over commutative rings Grade: Passed with Honors M.A. Mathematics The University of Kansas 2013 B.S. Mathematics University of Nebraska-Lincoln 2010 Graduated with High Honors Honors Project: Noether bounds for Z/p in the modular case Advisor: Luchezar Avramov Publications Joint with H. Dao. Cohomological support and the geometric join, (2015), arxiv:1602.00429. Accepted in Documenta Mathematica. Joint with H. Altmann, E. Grifo, J. Montaño, and T. Vu. Lower bounds on projective levels of complexes, J. Algebra, 491, (2017), 343 356. Classifying Resolving Subcategories, Pacific J. Math., 286, (2017), 401 438. Joint with S. Sane. Finite homological dimension and a derived equivalence, Trans. Amer. Math. Soc., 369, (2017), 3911 3935. Semidualizing modules and rings of invariants, J. Commut. Algebra, 7, (2015), 411 422.
Preprints Support and vanishing for non-noetherian rings and tensor triangulated categories, (2017), arxiv:710.10199. Joint with S. Iyengar. Cohomological support of tensor products of complexes over local rings. In preparation. Stone Duality and classifying subcategories. In preparation. Honors and awards Argersinger Dissertation Award May 2015 Awarded annually by the university to two dissertations, one in the arts and humanities, and one in the sciences and engineering. The award includes a cash prize and is presented at the doctoral hooding ceremony. Paul F. Conrad Graduate Scholarship April 2014 Awarded annually to two or three outstanding graduate students. Chair s Prize in Mathematics, University of Nebraska May 2010 Awarded annually to a single graduating senior in mathematics. Graduated from University of Nebraska Honors Program May 2010 Funding and scholarships The University of Kansas Graduate Student Chapter of the AMSr April 2014 Cofounded this AMS chapter in order to obtain annual AMS funding for student activities Joan Kirkham Travel Scholarship April 2014 Provides travel support for speaking at conferences. Summer Research Scholarship Summer 2011-2014 Provides support for summer research. Invited talks in conferences KUMUNU Jr April 2015 University of Nebraska-Lincoln, Lincoln NE Cohomological supports and the tensor product JMM Special Session on Syzygies January 2015 San Antonio, TX Supports and support varieties AMS Special Session on Developments from PASI 2012: Commutative Algebra and Interactions with Related Disciplines April 2014 Texas Tech University, Lubbock, TX Dévissage statements and semidualizing modules
SLAM Poster Session March 2014 Texas A&M University, College Station, TX Dévissage statements and semidualizing modules Poster KUMUNU September 2013 Resolving subcategories and semidualizing modules AMS Special Section on Commutative Algebra and its Environs April 2013 Iowa State University, Ames, IA Rings of invariants and semidualizing modules KUMUNU Jr April 2012 University of Nebraska-Lincoln, Lincoln NE Rings of invariants and semidualizing modules Invited talks in seminars University of Utah Algebra Seminar August 2016 Salt Lake City, UT A pointless approach to supports in categories BIREP Seminar June 2016 Bielefeld, Germany A pointless approach to triangulated categories University of Kansas Algebra Seminar January 2016 Lawrence, KS Frames and classifying subcategories Hausdorff Institute Oberseminar Darstellungstheorie December 2015 Bonn, Germany Bounding the level of perfect complexes IRTATCA Weekly Seminar February 2015 Bellaterra, Spain Support varieties and tensor products University of Utah Algebra Seminar October 2014 Salt Lake City, UT Homological dimension, a derived equivalence, and the New Intersection Theorem University of Missouri Graduate Student Seminar September 2014 Columbia, MO The derived category: an intuitive approach University of California-Los Angeles Algebra Seminar May 2014 Los Angeles, CA Dévissage statements and semidualizing modules Texas Tech University Algebra Seminar April 2014 Lubbock, TX Dévissage and an equivalence of categories University of Nebraska-Lincoln Algebra Seminar January 2014 Lincoln, NE Dévissage statements and semidualizing modules
Other professional service Referee Referee for Pacific Journal of Mathematics, Algebras and Representation Theory, and Journal of Pure and Applied Algebra. Reviewer Reviewer for MathSciNet and Zentralblatt. Service and outreach The University of Kansas Graduate Student Algebra Seminar 2011-2015 Seminar organizer: scheduled weekly talks, invited special guests, helped younger students pick talks, speak at least once a semester. The University of Kansas Graduate Student Chapter of the AMS 2014-2015 Cofounder of chapter. Served as Secretary for the spring 2014. Mathematics Department Graduate Student Organization 2012-2014 Served as Treasurer from 2012-2013 and Secretary from 2013-2014. MAM Students + Workshops = Success + Fun Workshop 2013,2014 Designed and ran educational activities for local 5th and 6th grade students. MAM Mathematics Competition 2012 Proctored competition exams for middle school students. Teaching Postdoctoral lecturer Norwegian University of Science and Technology Math 3: Linear algebra and differential equations Spring 2017, Fall 2017 Lectured, prepared assignments, helped write and grade final exam. I am the course coordinator for Fall 2017. This means I coordinate the exams, homework, recitation sections and am responsible for over 600 students. Galois Theory Spring 2017 Substitute teacher: lectured for one month. Algebraic Geometry Spring 2018 Masters level course, sole instructor. Online Courses The University of Kansas Calculus I online Fall 2014, Spring 2015 Prepared online materials, wrote and graded all tests and quizzes, assigned electronic homework, held office hours. AARMS Summer School Dalhousie University Homological Conjectures in Commutative Algebra Summer 2014 Teaching Assistant: Lectured, helped write and grade assignments, held office hours. GTA: Recitation Sections The University of Kansas Calculus II Spring 2014 Calculus I Spring 2013 Ran recitation sections, graded tests, held office hours.
GTA: Primary Instructor The University of Kansas College Algebra with Trigonometry Fall 2011, Spring 2012, Fall 2012, Fall 2013 Intermediate Algebra Fall 2010 Sole lecturer, wrote and graded tests and quizzes, assigned homework, held office hours. Undergraduate teaching assistant University of Nebraska-Lincoln Calculus I Spring 2010 Honors Calculus II Fall 2008, Fall 2009 Calculus II Excel Section Spring 2008 Ran recitation sections, wrote and graded quizzes, graded homework and tests, held office hours. Conferences attended Triangulated Categories and Geometry: A conference in honour of Amnon Neeman May 2017 Bielefeld University, Bielefeld Germany Idun 75: A conference on representation theory of artin algebras on the occasion of Idun Reiten s birthday May 2017 Norwegian University of Science and Technology, Trondheim Norway Masterclass: Stratifications and duality in modular representation theory March 2017 University of Copenhagen, Copenhagen Denmark The 17th bi-annual Workshop and International Conference on Representations of Algebras (ICRA 2016) August 2016 Syracuse University, Syracuse, NY Geometric and topological aspects of the representation theory of finite groups August 2016 University of British Columbia, Vancouver Canada Commutative Algebra and its Interactions with Algebraic Geometry: Tight Closure, Linkage, and Syzygies July 2016 University of Michigan, Ann Arbor, MI Workshop on Representations, Support, and Cohomology December 2015 Bielefeld University, Bielefeld Germany Mathematics Research Communities: Commutative Algebra June 2015 Snowbird Resort, Salt Lake City, UT KUMUNU Jr April 2015 Commutative Algebra and Related Topics 2015 March 2015 University of Kansas, Lawrence, KS (Re)emerging methods in Commutative Algebra and Representation Theory January 2015 Centre de Recerca Matemàtica, Barcelona Spain Joint Mathematics Meetings January 2015 San Antonio, TX AMS Sectional Meeting October 2014 San Francisco State University, San Francisco, CA KUMUNU September 2014
KUMUNU Jr April 2014 AMS Sectional Meeting April 2014 Texas Tech University, Lubbock, TX Southwest Local Algebra Meeting March 2013 Texas A&M University, College Station, TX Conference on Geometric Methods in Representation Theory November 2013 AMS Sectional Meeting October 2013 Washington University, St. Louis, Mo KUMUNU September 2013 AMS Sectional Meeting April 2013 Iowa State University, Ames, IA Southwest Local Algebra Meeting March 2013 The University of Arizona, Tucson, AZ Representation Theory, Homological Algebra, and Free Resolutions February 2013 Mathematical Sciences Research Institute, Berkley, CA Further Connections Between Algebra and Geometry February 2013 North Dakota State University, Fargo, ND AMS Sectional Meeting October 2012 The University of Arizona, Tucson, AZ KUMUNU September 2012 Pan-American Advanced Studies Institute (PASI): Commutative Algebra and Its Interactions with Algebraic Geometry, Representation Theory, and Physics May 2012 Centro de Investigacion en Matematicas, Guanajuato, Mexico KUMUNU Jr April 2012 AMS Sectional Meeting October 2011 KUMUNU April 2011 KUMUNU September 2009 Professional memberships and honors societies American Mathematical Society Phi Beta Kappa