Kashyap Rajeevsarathy

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1 Kashyap Rajeevsarathy Indian Institute of Science Education and Research (IISER) Bhopal, Department of Mathematics, Indore By-pass Road, Bhauri, Bhopal , Madhya Pradesh, India. Phone: Webpage: kashyap Date of Birth: August 30, Education : Ph.D. Mathematics, University of Oklahoma (OU). Defense date: June 13, 2011; Advisor: Dr. Darryl McCullough : M.S. Mathematics, Indian Institute of Technology Madras, Chennai, India : B.Sc. Mathematics, Vivekananda College, Chennai, India. Academic positions Assistant Professor, IISER Bhopal, Present Ramanujan Fellow, IISER Bhopal, November November Graduate Teaching Assistant (at OU), Research Assistant (full-time or part-time) for Dr. Darryl McCullough, Administrative positions Dean In-Charge, Student Affairs, IISER Bhopal, September December Coordinator of Student Affairs, IISER Bhopal, September August Fields of interest Low-dimensional topology in dimensions 2 and 3. Geometric topology in dimensions 2 and 3. Applied spectral graph theory. Research papers Published Fractional powers of Dehn twists about nonseparating curves, Glasgow Journal of Mathematics, 56: , 2013.

2 Kashyap Rajeevsarathy 2 Roots of Dehn twists about separating curves, Journal of the Australian Mathematical Society, 95: , Roots of Dehn twists, with Darryl McCullough, Geometriae Dedicata, 151: , Preprints The geometric realizations of cyclic actions on surfaces. On the spectral properties of cayley graphs of metabelian and nilpotent group extensions, arxiv: , Roots of Dehn twists about multicurves, arxiv: [math.gt], Projects supervised Masters thesis Abhay Chandel (MS Batch 2008), IISER Bhopal, Training Enrolled for the "Teach college math" course offered by the department (at OU), Fall Professional Ethics training program (organized by NSF) (at OU), Summer International TA training program (at OU), Fall Teaching Current MTH 304: Metric spaces and topology Past (at IISER Bhopal) Course Semester Class Strength SRS score MTH 301: Group Theory I, /5 MTH 516/616: Topology II II, /5 MTH 605: Topology I I, /5 MTH 507: Introduction to algebraic topology I, /5 MTH 307: Programming and data structures II, /5 MTH 201: Multivariable calculus and differential equations I, /5 MTH 605: Topology I II, MTH 303: Real analysis I, /4 MTH 102: Linear algebra II, /4 MTH 507: Introduction to algebraic topology I, /4 MTH 102: Linear algebra II, /4 MTH 102: Linear algebra II, /4 MTH 305: Foundations of mathematics and elementary number theory I, /4 MTH 101: Calculus of one variable I, /4

3 Kashyap Rajeevsarathy 3 Past (at OU) Calculus IV - Summer Calculus I - Spring Precalculus and Trigonometry - Spring 2010, Fall Precalculus for Business, Life, and Social Sciences - Fall 2008, Spring Calculus I (Discussion section) - Fall 2006, Fall Calculus II (Discussion section) - Fall Talks Invited talks On the symplectic representations of finite order mapping classes, TIMC-AMS international symposium on Teichmuller Theory/Differential geometry, December 14-17, Primitivity in the mapping class group, 81st Anniversary General Meeting of the Indian National Science Academy (at IISER Bhopal), December 28-31, Primitivity in the mapping class group, Conclave of Ramanujan Fellows (IIT Indore), December 22-23, Euler Characteristic: The magic number, Outreach Programme (at IISER Bhopal), May Multicurves and primitivity in Mod(S g ), 30 th Annual conference of the Ramanujan Mathematical Society, May 15-17, Multicurves and primitivity in Mod(S g ), Ramanujan Fellowship Review Meeting, IIT Guwahati, April 25, Multicurves and primitivity in Mod(S g ), International conference on Geometry and Analytical Aspects of Hyperbolic Spaces (at Delhi University, India), December 10-15, Finite groups of Möbius transformations, Winter School in Mathematics (at IISER Bhopal, India), December 8-19, Groups and symmetry, Outreach Programme (at IISER Bhopal), May Multicurves and primitivity in Mod(S g ), Ramanujan Fellowship Review Meeting, Kolkata, India, May 20, Multicurves and primitivity in Mod(S g ), Math Seminar, IISER Pune, India, April 7, Roots of Dehn twists about multicurves, 79th Annual Meeting of the IMS (at RSET Cochin), December 28-31, Euler Characteristic: The magic number, Outreach Programme (at IISER Bhopal), May On the fractional powers of Dehn twists, Mathematics Colloquium, IMSc Chennai, India, January 31, Crash course in hyperbolic geometry, Groups, Geometry and Dynamics (at Almora, UK, India), December 3-4, 2012.

4 Kashyap Rajeevsarathy 4 On the fractional powers of Dehn twists, Math Seminar, IISER Pune, India, November 11, Fractional powers of Dehn twists about nonseparating curves, Geometry Topology Seminar, GATech, Atlanta, USA, May 14, Roots of Dehn twists, Mathematics Seminar, IISc Bangalore, India, December 13, Contributed talks Bounds on the degrees of roots of Dehn twists, Contributed Session, AMS Sectional Meeting (at Tampa, Fl), March 10-11, Fractional powers of Dehn twists - Special Session on Geometric Topology, 45 th Spring Topology and Dynamics Conference (at Tyler, TX), March 17-19, Fractional powers of Dehn twists - AMS Session on Differential Topology, 2011 Joint Mathematics Meetings (at New Orleans, LA), January 6-9, Roots of Dehn twists about separating curves - Contributed Session, 44 th Spring Topology and Dynamics Conference (at Starkville, MS), March 18-20, Seminar talks On the fractional powers of Dehn twists - II - Math Seminar (at IISER Bhopal), Sem 2, On the fractional powers of Dehn twists - I, Math Seminar (at IISER Bhopal), Sem 2, Roots of Dehn twists - An algebraic perspective - Math Seminar (at IISER Bhopal), Sem 1, Roots of Dehn twists - A topological perspective - Math Seminar (at IISER Bhopal), Sem 1, Introduction to mapping class groups - Math Seminar (at IISER Bhopal), Sem 1, Fractional powers of Dehn twists - Student Topology Seminar (at OU), Spring Fractional powers of Dehn twists - Geometry and Topology Seminar (at OU), Fall Roots of Dehn twists about separating curves - Geometry and Topology Seminar (at OU), Fall Introduction to mapping class groups - Student Algebra Seminar (at OU), Spring Roots of Dehn twists about separating curves - Student Topology Seminar (at OU), Fall An introduction to Teichmüller Space, Student Topology Seminar (at OU), Spring Differential geometry and the Fundamental Theorem of Algebra - Student Alegbra Seminar (at OU), Spring Bounding the Hempel distance of Haken manifolds - Geometry and Topology Seminar (at OU), Fall Heegaard splittings of Haken manifolds have bounded distance - Student Topology Seminar (at OU), Fall Cohomology - Student Algebra Seminar (at OU), Spring An introduction to 3-manifolds - Student Topology Seminar (at OU), Fall 2007.

5 Kashyap Rajeevsarathy 5 Singular homology - Student Algebra Seminar (at OU), Fall Knot polynomials and skein relations - Student Topology Seminar (at OU), Fall Solving the "Partition Into Triangles" problem using DNA computing - Graduate Student Seminar (at OU), Spring 2006 Conferences and workshops 81 st Anniversary General Meeting of the Indian National Science Academy (at IISER Bhopal), December 28-31, th Annual conference of the Ramanujan Mathematical Society (at IISER Mohali), May 15-17, International conference on Geometry and Analytical Aspects of Hyperbolic Spaces (at Delhi University, India), December 10-15, Winter School in Mathematics (at IISER Bhopal, India), December 8-19, th Annual Meeting of the IMS (at Cochin, Kerala, India), December 28-31, Groups, Geometry and Dynamics (at Almora, UK, India), December 3-16, AMS Sectional Meeting (at Tampa, Fl, USA), March 10-11, th Spring Topology and Dynamics Conference (at Tyler, TX, USA), March 17-19, Joint Mathematics Meetings (at New Orleans, LA, USA), January 6-9, Graduate Topology and Geometry Conference (at Ann Arbor, MI, USA), April 10-11, th Spring Topology and Dynamics Conference (at Starkville, MS, USA), March 18-20, Honors and Grants Honors Ramanujan National Fellowship (at IISER Bhopal), Nov John C. Brixley Graduate Scholarship (at OU), Corinne Price Scholarship (at OU), Andree Memorial Scholarship (at OU), Grants College of Arts and Sciences Travel grant (at OU), Fall Graduate Student Senate Travel/Conference grant (at OU), Spring 2010.

6 Kashyap Rajeevsarathy 6 Service Professional Referee: Rocky Mountain Journal of Mathematics, Geomtetriae Dedicata, and Proceedings of the American Mathematical Society. Department and University Placement Officer for the Mathematic Department (at IISER Bhopal) - Sem 2, Mess Faculty Advisor (at IISER Bhopal), Sem 1-Sem 2, Hostel warden (at IISER Bhopal) - Sem 2, MATH Seminar organizer (at IISER Bhopal) - Sem 1, Graduate Student Seminar organizer (at OU) - Fall 2008, Spring Student Topology Seminar organizer (at OU) - Fall 2009, Spring Mathematics department representative to the Graduate Student Senate (GSS) (at OU) - Fall 2009, Spring Member of the Development and Philanthropy committee of the GSS (at OU) - Fall 2009, Spring Community Volunteer for community service programs organized by the Habitat for Humanity organization, USA. Memberships AMS membership, present. Computer Skills Programming: LATEX, Mathematica, GAP, C, C++, HTML. Operating systems: Windows, Mac OSX, Linux.

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