MARTHA E. PRECUP. Northwestern University, Department of Mathematics mprecup/

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1 MARTHA E. PRECUP CURRICULUM VITAE Northwestern University, Department of Mathematics mprecup/ EDUCATION, Notre Dame, IN Ph.D. Mathematics, May 2013 Thesis Title: Affine pavings of Hessenberg varieties for semisimple groups Advisor: Samuel Evens Hope College, Holland, MI B.A. Mathematics, Minor: Economics, May 2008 ACADEMIC EMPLOYMENT Northwestern University, Evanston, IL Postdoctoral Lecturer, September 2015-present Baylor University, Waco, TX Postdoctoral Associate, August 2013-July 2015 PUBLICATIONS Springer fibers and Schubert points, with J. Tymoczko, preprint, arxiv: Hessenberg varieties of parabolic type, with J. Tymoczko, preprint, arxiv: The Betti numbers of regular Hessenberg varieties are palindromic, submitted, arxiv: The connectedness of Hessenberg varieties, Journal of Algebra, 437, 2015, Affine pavings of Hessenberg varieties for semisimple groups, Selecta Mathematica (New Series), 19, 2013, no. 4, Classification of geometric spirals, with D. Emmendorfer and A. Warren, Pi Mu Epsilon Journal, 13, 2010, no. 2, RESEARCH IN PROGRESS A generalization of the Springer resolution, with W. Graham and A. Russell; in progress. Generalized Kostant Polynomials, with E. Richmond; in progress. The singular locus of semisimple Hessenberg varieties, with E. Insko; in progress.

2 TEACHING EXPERIENCE Course Coordinator, Northwestern University MENU: Linear Algebra and Multivariable Calculus Coordinating instruction and exams across all sections Instructor, Northwestern University MENU: Linear Algebra and Multivariable Calculus Foundations of Higher Mathematics Fall, Winter, Spring 2016 Integral Calculus of One Variable Functions Fall 2015 Instructor, Baylor University Linear Algebra Spring 2015 Ordinary Differential Equations Spring 2015 Introduction to Analysis Fall 2014 Calculus 1 Fall 2014, Fall 2013 Calculus 2 Spring 2014 Instructor, Linear Algebra (honors reading group) Summer 2012, Summer 2011 Calculus III Fall 2011 Leader, Undergraduate Reading Seminar, Abstract Algebra Spring 2013 Lie Algebras Fall 2012 Geometric constructions Spring 2010 RESEARCH TALKS A generalization of the Springer resolution Colloquium, Washington University in St. Louis October 2016 The Betti numbers of regular Hessenberg varieties and the dot action Algebraic Geometry Seminar, Washington University in St. Louis October 2016 The Betti numbers of parabolic Hessenberg varieties Algebra and Combinatorics Seminar, DePaul University May 2016 Geometry and Topology Seminar, McMaster University November 2015 The combinatorial properties of Springer fibers Graduate Student Seminar, Northwestern University January 2016 Regular Hessenberg varieties and Generalized Exponents Representation Theory Seminar, Oklahoma State University April 2015 Algebra Seminar, University of Georgia April 2015 Algebraic Geometry Seminar, Texas A&M University March 2015 The Geometry of Nilpotent Hessenberg Varieties Representation Theory Seminar, University of Massachusetts Amherst November 2014 Algebraic Geometry Seminar, Texas A&M University February 2014 Mathematics Colloquium, Baylor University February 2013 Algebra Seminar, University of Wisconsin Milwaukee November 2012 An Affine Paving of Hessenberg Varieties Algebraic Geometry Seminar, The University of British Columbia April

3 Nilpotent Hessenberg Varieties Mathematics Colloquium, Sam Houston State University October 2014 Algebra Seminar, University of North Texas October 2013 The Geometry of Semisimple Hessenberg Varieties Algebraic Geometry and Commutative Algebra Seminar, August 2012 INVITED CONFERENCE PRESENTATIONS The Betti numbers of regular Hessenberg varieties and the dot action Joint Mathematics Meetings, Special Session on January 2017 Representations and Related Geometry in Lie Theory The Betti numbers of parabolic Hessenberg varieties AMS Spring Western Sectional Meeting, Special Session on April 2016 Algebraic Combinatorics AMS Fall Eastern Sectional Meeting, Special Session on November 2015 Algebraic Geometry and Combinatorics Generalized Kostant polynomials AMS Spring Western Sectional Meeting, Special Session on April 2016 Combinatorial and Computational Commutative Algebra and Algebraic Geometry AMS Spring Southeastern Sectional Meeting, Special Session on March 2016 Lie Theory, Representation Theory, and Geometry Hessenberg varieties Focused Research Group on Hodge Theory, Moduli and January 2016 Representation Theory: Workshop 5, Texas A&M University An Affine Paving of Hessenberg Varieties Workshop on Recent Developments in the Geometry and July 2015 Combinatorics of Hessenberg Varieties, The Fields Institute AMS Spring Western Sectional Meeting, Special Session on April 2013 Geometric Methods in the Representation Theory of Reductive Groups Connectedness Properties of Hessenberg Varieties AMS Southeastern Sectional Meeting, Special Session on Geometric March 2014 and Combinatorial Methods in Lie Theory TALKS FOR UNDERGRADUATES Analyzing ranking data Northwestern University Math Society October 2016 Mathematics Colloquium, Butler University February 2016 Mathematics Colloquium, Florida Gulf Coast University October 2015 The Algebra and Geometry of Flags Mathematics Colloquium, Hope College November

4 GRANTS AWM-NSF Mentoring Travel Grant ($3960), Mentor: J. Tymoczko 2015 Association for Women in Mathematics CONFERENCE ORGANIZATION Joint Mathematics Meetings, Special Session on Combinatorial and January 2017 cohomological invariants of flag manifolds and related varieties (with R. Goldin) HONORS AND AWARDS Project NExT Fellow (Gold Dot) Mathematical Association of America Outstanding Graduate Student Teacher Award for Excellence in Teaching 2012 Kaneb Center for Teaching and Learning, Notebaert Professional Development Grant 2012 The Graduate School, Graduate Student Travel Grant (to attend Joint Meetings) 2012 Graduate Student Travel Grant (to attend AMS Southeastern Fall Sectional Meeting) 2012 Richard V. Andree Award 2010 Best publication appearing in the Pi Mu Epsilon Journal Albert E. Lampen Award in Mathematics 2008 Hope College PROFESSIONAL DEVELOPMENT AND WORKSHOPS Peer Teaching Observation Participant Fall 2016 Northwestern University Workshop on equivariant generalized Schubert calculus and its applications April 2016 University of Ottawa Project NExT Workshop and Mathfest, Washington, DC August 2015 Project NExT Workshop and Mathfest, Portland, OR August 2014 AMS Mathematical Research Communities, Snowbird UT June 2014 Algebraic and Geometric Methods in Applied Discrete Mathematics Joint Mathematics Meetings, San Diego, CA January 2013 AWM Workshop, graduate student participant AWM Poster Session, An affine paving of Hessenberg Varieties Lie Theory and Representation Theory Summer School, May 2010 University of Georgia, Athens, GA 4

5 COLLEGIATE SERVICE AND OUTREACH Panelist, Graduate Research Opportunities for Women October 2016 Nuts and bolts of getting into graduate school Northwestern University Northwestern Women in Mathematics co-organizer Winter 2015-present External Examiner of PhD Thesis for Lauren Dedieu July 2016 Newton-Okounkov bodies of Bott-Samuelson & Peterson varieties McMaster University Judge, MAA Student Paper Session, MathFest August 2015 Organizer, High School Visit to the Mathematics Department Spring 2015 Baylor University Speaker, Graduate Student Orientation August 2012, August 2011 Moderator, Summer Math REU Discussion Spring 2011, Math for Everyone Series Assistant, Undergraduate Summer School Summer 2011 Center for Mathematics at Notre Dame Organizer, Graduate Student Orientation Summer 2010 Referee for: Representation Theory, An electronic journal of the AMS Canadian Mathematical Bulletin Journal of the Mathematical Society of Japan Journal of Algebra and Its Applications MEMBERSHIPS Association for Women in Mathematics 5