Professional Statement. Competitive Funding. Academic Appointments. Education
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1 Qayum Khan, PhD Mon 24 Sep 2018 Assistant Professor Department of Mathematics Saint Louis University Professional Statement Citizenship: U.S.A. math.slu.edu/~khan SLU. EDU I conduct independent, fundamental research. (Geometric Topology of Manifolds of Dimension 4) Competitive Funding Workshop Grant ($15,000) National Science Foundation (PI, DMS ) site: Indiana University Individual Research Grant ($103,460) National Science Foundation (PI, DMS ) site: University of Notre Dame Workshop Grant ($10,000) National Science Foundation (co-pi, DMS ) site: Vanderbilt University Academic Appointments Assistant Professor (tenure-track) now Saint Louis University (MA & PhD Graduate Faculty: 2014 now) St Louis MISSOURI Visiting Assistant Professor Indiana University (Visiting Scholar: 2018 now) Bloomington INDIANA Research Assistant Professor University of Notre Dame (H J Kenna Instructor: ) Notre Dame INDIANA Assistant Professor (term) Vanderbilt University Nashville TENNESSEE Education Doctor of Philosophy in Pure Mathematics Indiana University Bloomington INDIANA Dissertation: On connected sums of real projective spaces..... thesis advisor: James F Davis Master of Science in Pure Mathematics University of Illinois Chicago Chicago ILLINOIS Bachelor of Science in Mathematics (highest distinction) University of Illinois Chicago (major advisor: Louis H Kauffman) Chicago ILLINOIS High School Diploma (mathematics department award) Maine Township High School West Des Plaines ILLINOIS
2 Original Publications 1. Manifolds homotopy equivalent to P n #P n (with J Brookman and J F Davis) Mathematische Annalen (4): , On smoothable surgery for 4-manifolds Algebraic & Geometric Topology : , On fibering and splitting of 5-manifolds over the circle Topology and its Applications (2): , Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup Journal of Pure and Applied Algebra (3): , Calculation of UNil for the cyclic group of order two Forum Mathematicum (2): , Dihedral manifold approximate fibrations over the circle (with C B Hughes) Geometriae Dedicata [erratum] (1): , Algebraic K-theory over the infinite dihedral group: an algebraic approach.. (J F Davis, A Ranicki) Algebraic & Geometric Topology (4): , Homotopy invariance of 4-manifold decompositions: connected sums Topology and its Applications (16): , Topological rigidity and H 1 -negative involutions on tori (with F Connolly and J F Davis) Geometry & Topology (3): , Topological rigidity and actions on contractible manifolds with discrete singular set (Connolly, Davis) Transactions of the American Mathematical Society B2: , Cancellation for 4-manifolds with virtually abelian fundamental group Topology and its Applications : 14 30, Free transformations of S 1 S n of square-free odd period Indiana University Mathematics Journal (5): , Countable approximation of topological G-manifolds: compact Lie groups G Topology and its Applications : 14 21, 2018 Preprints 14. Stable existence of incompressible 3-manifolds in 4-manifolds (with G Smith) Topology and its Applications pre-accepted (22 Jul 2018) 15. Countable approximation of topological G-manifolds, II: linear Lie groups G 7 pages submitted (21 Jun 2018)
3 Conference Proceedings A. The homotopy type of G/P L and the characteristic variety theorem (with T Macko) Oberwolfach Reports (3): , 2006 B. The Nil-Nil theorem in algebraic K-theory RIMS Kôkyûroku : , 2008 C. Rigidity of pseudo-free group actions on contractible manifolds RIMS Kôkyûroku Bessatsu B39: 45 50, 2013 Referee Services (books, journals, reviews) j Algebraic & Geometric Topology Mathematical Sciences Publishers b Annals of Mathematical Studies Princeton University Press current j Boletín de la Sociedad Matemática Mexicana Springer j Bulletin of the London Mathematical Society London Mathematical Society j Forum Mathematicum De Gruyter j Homology, Homotopy and Applications International Press of Boston j Journal of Topology London Mathematical Society , 2018 j Journal of Topology and Analysis World Scientific j Kôkyûroku Bessatsu Research Institute for Mathematical Sciences j Mathematische Annalen Springer r MathSciNet American Mathematical Society j New York Journal of Mathematics nonprofit j Topology and its Applications Elsevier , 2018 r zbmath Springer Organizer of Professional Meetings Summer School: Surgery and the Classification of Manifolds July 2016 University of Calgary (with D Crowley, J F Davis, G Yu; locally D Stanley, K Bauer). Calgary CANADA Seminar: Topology-Geometry Research & Learning weekly 2015 now Saint Louis University St Louis MISSOURI Conference: High Dimensional Topology December 2012 University of Notre Dame (with J F Davis) Notre Dame INDIANA Seminar: Topology Research weekly University of Notre Dame Notre Dame INDIANA Conference: Nil Phenomena in Topology April 2007 Vanderbilt University (with C B Hughes) Nashville TENNESSEE
4 Service on Saint Louis U Reviewer, University - Beaumont Faculty Development Fund A Member, College - Board of Graduate Education C, 17 18:C* A* Member, Department - Graduate Programs & Admissions :C A Member, Department - Colloquium Committee :C A Organizer, Department - Awards & Scholarships Ceremony :A Co-examiner, Department, Doctoral - Dissertation Defense manifold topology Gerrit Smith (17A*) done Co-examiner, Department, Doctoral - Candidacy Qualifier manifold topology Seth Arnold (18A*), Sean Corrigan (15C), Gerrit Smith (15C*) done Examiner, Department, Doctoral - Translate Research Excerpt french english Seth Arnold (17A), Gerrit Smith (16A) done Mentor to Saint Louis U Advisor, Graduate, PhD Mathematics - 19A: Seth Arnold current Gerrit Smith (17A) done Mentor, First-Semester Graduate - 18C: Aruna Bandara (MS), Arnab Dey Sarkar (PhD)..... current Advisor, Major, BS Mathematics - 20A: Lingwei Zeng current Advisor, Major, BA Mathematics - Nicholas Koutas (18A) done Advisor, Major, BA Math Teacher - Sadita Salihovic (18A) done Advisor, Major, BA Applied Math - Michael Skaer (18A), Prerak Trivedi (18A) done Advisor, Minor, Mathematics - 19A: Gabriel Horas current Julia Geraghty (18A), James Griffard (16C) done Advisor, Minor, Actuarial Math - Michael Skaer (18A) done Advisor, Minor, Engineering Math - 20A: Olivia Smithhisler current Roberto Ayuso-de-Andrés (17A), Theresa McGrath (16A), Kevin Stapleton (18A), Dzhuliya Vasileva (17A), Zeheng Wu (15A) Teaching Saint Louis U Instructor, Doctoral, Reading+Seminar - Exotic Spheres [Kervaire Milnor 1963] A Instructor, Doctoral, Reading+Seminar - Homology Submanifolds [Thom II 1954] C Instructor, Doctoral, Reading - Characteristic Classes [Milnor Stasheff 1974] A / 17C Instructor, Masters - General Topology II [Munkres 2000] A Instructor, Masters - General Topology I [Munkres 2000] C Instructor, Upper - Differential Equations [Boyce diprima Meade 2017] C / 18A Instructor, Lower - Principles of Mathematics [Chartrand Polimeni Zhang 2012] C Instructor, Lower - Calculus II [Hughes-Hallett ] AC / 16AC / 17A / 18A Instructor, Lower - Calculus I [Hughes-Hallett ] C / 17C * = committee chairperson; SEMESTER CODES: 15A = 2015 Spring, 98B = 1998 Summer, 00C = 2000 Fall
5 Teaching U Notre Dame Instructor, Upper - Introduction to Topology A Instructor, Upper - Differential Equations II C / 11C Instructor, Lower - Linear Algebra & Differential Equations I A Instructor, Lower - Accelerated Calculus II AC Instructor, Lower - Accelerated Calculus I C Instructor, Lower - Elements of Calculus II C Teaching Vanderbilt U Instructor, Upper - Differential Equations I A Assistant, Upper - Multivariate Calculus & Linear Algebra II A Instructor, Lower - Accelerated Calculus III C Assistant, Lower - Accelerated Calculus I C Instructor, Lower - Calculus III A Instructor, Lower - Calculus II A Instructor, Lower - Calculus I C / 07C Instructor, Lower - Fundamentals of Probability & Statistics A Teaching Indiana U Grader, Masters - General Topology II A Grader, Masters - General Topology I C Assistant, Upper - Intuitive Topology A Instructor, Upper - Differential Equations I A Assistant, Upper - Honors Calculus III C Assistant, Lower - Honors Calculus II C Instructor, Lower - Calculus II ABC Instructor, Lower - Brief Survey of Calculus II C Grader, Lower - Brief Survey of Calculus I C / 04A Instructor, Lower - Precalculus with Trigonometry C / 06A Instructor, Lower - Precalculus C Teaching U Illinois Chicago Assistant, Lower - Calculus II ABC / 02A Assistant, Lower - Business Calculus II C Assistant, Lower - Business Calculus I A Assistant, Lower - Precalculus AC Assistant, Lower - Intermediate Algebra C
6 Invited Research Presentations Stable existence of incompressible 3-manifolds in 4-manifolds Topology Seminar (1st video & 2nd video & 3rd video) March 2016 & 17 October 2016 & 15 March 2017 National Academy of Sciences Kiev UKRAINE Topology Seminar February 2017 Ohio State University Columbus OHIO Topology Seminar March 2016 The Nil-Nil theorem in algebraic K-theory Topology Seminar (video) January 2017 National Academy of Sciences Kiev UKRAINE Topology Seminar September 2009 University of Notre Dame Notre Dame INDIANA Topology Seminar April 2009 Miami University Oxford OHIO Topology & Group Theory Seminar October 2008 Vanderbilt University Nashville TENNESSEE Oberseminar Topologie July 2008 Universität Bonn Bonn GERMANY Topologiseminar June 2008 Universitetet i Oslo Oslo NORWAY Conference: Transformation Groups and Related Topics May 2008 Research Institute for Mathematical Sciences Kyoto JAPAN Graduate Seminar May 2008 Okayama University of Science Okayama JAPAN AMS Central Meeting: Algebraic K-theory and Nil-groups April 2008 AMS Eastern Meeting: Geometric Topology March 2008 Courant Institute of Mathematical Sciences Manhattan NEW YORK Topology Seminar March 2008 The Ohio State University Columbus OHIO Cancellation for 4-manifolds with virtually abelian fundamental group Topology Seminar (video) July 2016 National Academy of Sciences Kiev UKRAINE Topology Seminar (the virtually cyclic case) November 2004 Rigidity of pseudo-free group actions on contractible manifolds Topology Seminar (video) December 2015 National Academy of Sciences Kiev UKRAINE Conference: High Dimensional Topology December 2012 University of Notre Dame Notre Dame INDIANA AMS Central Meeting: Interactions between Geometry and Topology October 2012 University of Akron Akron OHIO Midwest Topology Seminar April 2012 Purdue University West Lafayette INDIANA Topology Seminar April 2012 University of Illinois Urbana ILLINOIS Spring Topology & Dynamics Conference: Geometric Topology March 2012 Universidad Nacional Autonóma de México Mexico City MEXICO AMS Western Meeting: Transformation Groups in Topology March 2012 University of Hawai i Honolulu HAWAII
7 Conference: Transformation Groups and Combinatorics June 2011 Research Institute for Mathematical Sciences Kyoto JAPAN Oberseminar Topologie (and Graduate Preseminar) May 2011 Universität Bonn Bonn GERMANY Conference: New Directions in Algebraic K-theory May 2011 Mathematisches Forschungsinstitut Oberwolfach Oberwolfach GERMANY Conference: Classifying Spaces for Families of Subgroups December 2010 The Ohio State University Columbus OHIO Topology Seminar October 2010 Conference: Transformation Groups and Surgery Theory September 2010 Research Institute for Mathematical Sciences Kyoto JAPAN Topology Seminar May 2010 The Ohio State University Columbus OHIO Topology Seminar May 2010 University of Notre Dame Notre Dame INDIANA Free transformations of S 1 S n of prime period Topology Seminar (video) December 2015 National Academy of Sciences Kiev UKRAINE Conference: Geometric Topology June 2015 Texas Christian University Fort Worth TEXAS Conference: New Topics on Transformation Groups May 2015 Research Institute for Mathematical Sciences Kyoto JAPAN Spring Topology & Dynamics Conference: Geometric Topology May 2015 Bowling Green State University Bowling Green OHIO Topology Seminar & 28 October 2014 Saint Louis University St Louis MISSOURI Oberseminar Topologie July 2014 Universität Bonn Bonn GERMANY Topology Seminar April 2014 AMS Southeastern Meeting: Geometric Topology March 2014 University of Tennessee Knoxville TENNESSEE Involutions on tori with isolated fixed points Departmental Colloquium February 2014 Saint Louis University St Louis MISSOURI Departmental Colloquium February 2014 Ball State University Muncie INDIANA Departmental Colloquium February 2014 George Mason University Fairfax VIRGINIA Departmental Colloquium December 2012 Binghamton University (SUNY) Vestal NEW YORK Departmental Colloquium November 2012 Miami University Oxford OHIO Departmental Colloquium November 2012 New Mexico State University Las Cruces NEW MEXICO Departmental Colloquium May 2012 Hunter College (CUNY) Manhattan NEW YORK Departmental Colloquium April 2012 Bowling Green State University Bowling Green OHIO Departmental Colloquium February 2011 University of Hawai i Honolulu HAWAII
8 Rigidity for connected sums of certain 4-manifolds Topology Seminar November 2012 New Mexico State University Las Cruces NEW MEXICO Conference: Geometry and Topology in Samos June 2012 University of the Aegean Karlovasi GREECE AMS Southeastern Meeting: Geometric Aspects of Algebraic Topology March 2010 University of Kentucky Lexington KENTUCKY Topology Seminar February 2010 University of Illinois Urbana ILLINOIS Trimester Program: Rigidity October 2009 Hausdorff Research Institute for Mathematics Bonn GERMANY Dihedral manifold approximate fibrations over the circle Topology Seminar May 2009 Okayama University Okayama JAPAN Graduate Seminar May 2009 Okayama University of Science Okayama JAPAN Topology & Group Theory Seminar February 2009 Vanderbilt University Nashville TENNESSEE Splitting and fibering 5-manifolds over the circle Topology & Group Theory Seminar September 2007 Vanderbilt University Nashville TENNESSEE Conference: Topological and Geometric Rigidity August 2007 Banff International Research Station Banff CANADA On the calculation of UNil for finite groups Conference: Geometry, Topology and Their Interactions January 2007 Universidad Nacional Autónoma de México Morelia MEXICO Topology Seminar October 2005 Miami University Oxford OHIO Topology Seminar October 2005 Manifolds homotopy equivalent to RP n #RP n (Part 2: Jeremy Brookman) Conference: Algebraic K- and L-theory of Infinite Groups July 2005 International Centre for Mathematical Sciences Edinburgh SCOTLAND Academic Affiliations American Mathematical Society since 1998 Slavic National Honor Society (Dobro Slovo college-level russian language) since 2018
9 Expository Talks Compact Hausdorff groups are pro-lie Topology-Geometry Seminar September 2018 Saint Louis University St Louis MISSOURI Metric spaces are paracompact: Mary Ellen Rudin s short proof Topology-Geometry Seminar September 2018 Saint Louis University St Louis MISSOURI Classical introduction to K-theory Topology Seminar (video) December 2016 National Academy of Science Kiev UKRAINE Lectures Summer School: Surgery and the Classification of Manifolds July 2016 University of Calgary Calgary CANADA Finiteness of the stable homotopy groups of spheres Exotic Spheres Seminar February 2016 & 03 March 2016 Saint Louis University St Louis MISSOURI Gromov s link criterion and Wise s example Cube Complexes Seminar April 2013 Indiana University Bloomington INDIANA Calculation with the p-chain spectral sequence Topology & Group Theory Seminar October 2007 Vanderbilt University Nashville TENNESSEE Splitting homotopy equivalences between manifolds Topology & Group Theory Seminar August 2006 & 06 September 2006 Vanderbilt University Nashville TENNESSEE Homotopy type of G/PL and characteristic variety theorem.... (Part 1: Tibor Macko) Conference: The Hauptvermutung for High-Dimensional Manifolds August 2006 Mathematisches Forschungsinstitut Oberwolfach Oberwolfach GERMANY Controlled topology (Part 2: Michael Weiss) Winter School: The MIT Talbot Workshop March 2006 Massachusetts Institute of Technology North Conway NEW HAMPSHIRE
10 Reference Letter Writers Russell Blyth, Professor semi-flipped teaching mentor Department of Mathematics & Statistics, Saint Louis University St Louis MISSOURI Sylvain E Cappell, J Silver Professor of Mathematics advocate Courant Institute of Mathematical Sciences, New York University... Manhattan NEW YORK Francis X Connolly, Professor Emeritus second post-doctoral mentor Department of Mathematics, University of Notre Dame du Lac Notre Dame INDIANA James F Davis, Professor doctoral advisor Department of Mathematics, Indiana University Bloomington INDIANA C Bruce Hughes, Professor first post-doctoral mentor Department of Mathematics, Vanderbilt University Nashville TENNESSEE
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