Kashyap Rajeevsarathy

Kashyap Rajeevsarathy Indian Institute of Science Education and Research (IISER) Bhopal, Department of Mathematics, Indore By-pass Road, Bhauri, Bhopal 462 066, Madhya Pradesh, India. Phone: +91-755-6691273 Email: kashyap@iiserb.ac.in Webpage: https://home.iiserb.ac.in/ kashyap Date of Birth: August 30, 1982. Education 2005-2011 : Ph.D. Mathematics, University of Oklahoma (OU). Defense date: June 13, 2011; Advisor: Dr. Darryl McCullough 2003-2005 : M.S. Mathematics, Indian Institute of Technology Madras, Chennai, India. 2000-2003 : B.Sc. Mathematics, Vivekananda College, Chennai, India. Academic positions Assistant Professor, IISER Bhopal, 2011 - Present Ramanujan Fellow, IISER Bhopal, November 2011 - November 2016. Graduate Teaching Assistant (at OU), 2005-2011. Research Assistant (full-time or part-time) for Dr. Darryl McCullough, 2008-2010. Administrative positions Dean In-Charge, Student Affairs, IISER Bhopal, September 2014 - December 2016. Coordinator of Student Affairs, IISER Bhopal, September 2012 - August 2014. 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, 56:197-210, 2013.

Kashyap Rajeevsarathy 2 Roots of Dehn twists about separating curves, Journal of the Australian Mathematical Society, 95:266-288, 2013. Roots of Dehn twists, with Darryl McCullough, Geometriae Dedicata, 151:397-409, 2011. Preprints The geometric realizations of cyclic actions on surfaces. On the spectral properties of cayley graphs of metabelian and nilpotent group extensions, arxiv:1609.06022, 2017. Roots of Dehn twists about multicurves, arxiv:1506.01534 [math.gt], 2015. Projects supervised Masters thesis Abhay Chandel (MS Batch 2008), IISER Bhopal, 2012-13. Training Enrolled for the "Teach college math" course offered by the department (at OU), Fall 2009. Professional Ethics training program (organized by NSF) (at OU), Summer 2009. International TA training program (at OU), Fall 2005. Teaching Current MTH 304: Metric spaces and topology Past (at IISER Bhopal) Course Semester Class Strength SRS score MTH 301: Group Theory I, 2016-17 24 4.68/5 MTH 516/616: Topology II II, 2015-16 3 4.25/5 MTH 605: Topology I I, 2015-16 3 4.53/5 MTH 507: Introduction to algebraic topology I, 2015-16 3 4.07/5 MTH 307: Programming and data structures II, 2014-15 26 4.27/5 MTH 201: Multivariable calculus and differential equations I, 2014-15 150 4.37/5 MTH 605: Topology I II, 2013-14 1 - MTH 303: Real analysis I, 2013-14 11 3.11/4 MTH 102: Linear algebra II, 2012-13 110 3.44/4 MTH 507: Introduction to algebraic topology I, 2012-13 3 3.33/4 MTH 102: Linear algebra II,2011-12 85 3.35/4 MTH 102: Linear algebra II,2011-12 85 3.35/4 MTH 305: Foundations of mathematics and elementary number theory I, 2011-12 2 3/4 MTH 101: Calculus of one variable I,2011-12 85 3.33/4

Kashyap Rajeevsarathy 3 Past (at OU) Calculus IV - Summer 2011. Calculus I - Spring 2011. Precalculus and Trigonometry - Spring 2010, Fall 2010. Precalculus for Business, Life, and Social Sciences - Fall 2008, Spring 2009. Calculus I (Discussion section) - Fall 2006, Fall 2007. Calculus II (Discussion section) - Fall 2009. Talks Invited talks On the symplectic representations of finite order mapping classes, TIMC-AMS international symposium on Teichmuller Theory/Differential geometry, December 14-17, 2016. Primitivity in the mapping class group, 81st Anniversary General Meeting of the Indian National Science Academy (at IISER Bhopal), December 28-31, 2015. Primitivity in the mapping class group, Conclave of Ramanujan Fellows (IIT Indore), December 22-23, 2015. Euler Characteristic: The magic number, Outreach Programme (at IISER Bhopal), May 2015. Multicurves and primitivity in Mod(S g ), 30 th Annual conference of the Ramanujan Mathematical Society, May 15-17, 2015. Multicurves and primitivity in Mod(S g ), Ramanujan Fellowship Review Meeting, IIT Guwahati, April 25, 2015. Multicurves and primitivity in Mod(S g ), International conference on Geometry and Analytical Aspects of Hyperbolic Spaces (at Delhi University, India), December 10-15, 2014. Finite groups of Möbius transformations, Winter School in Mathematics (at IISER Bhopal, India), December 8-19, 2014. Groups and symmetry, Outreach Programme (at IISER Bhopal), May 2014. Multicurves and primitivity in Mod(S g ), Ramanujan Fellowship Review Meeting, Kolkata, India, May 20, 2014. Multicurves and primitivity in Mod(S g ), Math Seminar, IISER Pune, India, April 7, 2014. Roots of Dehn twists about multicurves, 79th Annual Meeting of the IMS (at RSET Cochin), December 28-31, 2013. Euler Characteristic: The magic number, Outreach Programme (at IISER Bhopal), May 2013. On the fractional powers of Dehn twists, Mathematics Colloquium, IMSc Chennai, India, January 31, 2013. Crash course in hyperbolic geometry, Groups, Geometry and Dynamics (at Almora, UK, India), December 3-4, 2012.

Kashyap Rajeevsarathy 4 On the fractional powers of Dehn twists, Math Seminar, IISER Pune, India, November 11, 2012. Fractional powers of Dehn twists about nonseparating curves, Geometry Topology Seminar, GATech, Atlanta, USA, May 14, 2012. Roots of Dehn twists, Mathematics Seminar, IISc Bangalore, India, December 13, 2011. Contributed talks Bounds on the degrees of roots of Dehn twists, Contributed Session, AMS Sectional Meeting (at Tampa, Fl), March 10-11, 2012. Fractional powers of Dehn twists - Special Session on Geometric Topology, 45 th Spring Topology and Dynamics Conference (at Tyler, TX), March 17-19, 2011. Fractional powers of Dehn twists - AMS Session on Differential Topology, 2011 Joint Mathematics Meetings (at New Orleans, LA), January 6-9, 2011. Roots of Dehn twists about separating curves - Contributed Session, 44 th Spring Topology and Dynamics Conference (at Starkville, MS), March 18-20, 2010. Seminar talks On the fractional powers of Dehn twists - II - Math Seminar (at IISER Bhopal), Sem 2, 2013. On the fractional powers of Dehn twists - I, Math Seminar (at IISER Bhopal), Sem 2, 2013. Roots of Dehn twists - An algebraic perspective - Math Seminar (at IISER Bhopal), Sem 1, 2011. Roots of Dehn twists - A topological perspective - Math Seminar (at IISER Bhopal), Sem 1, 2011. Introduction to mapping class groups - Math Seminar (at IISER Bhopal), Sem 1, 2011. Fractional powers of Dehn twists - Student Topology Seminar (at OU), Spring 2011. Fractional powers of Dehn twists - Geometry and Topology Seminar (at OU), Fall 2010. Roots of Dehn twists about separating curves - Geometry and Topology Seminar (at OU), Fall 2010. Introduction to mapping class groups - Student Algebra Seminar (at OU), Spring 2010. Roots of Dehn twists about separating curves - Student Topology Seminar (at OU), Fall 2009. An introduction to Teichmüller Space, Student Topology Seminar (at OU), Spring 2009. Differential geometry and the Fundamental Theorem of Algebra - Student Alegbra Seminar (at OU), Spring 2009. Bounding the Hempel distance of Haken manifolds - Geometry and Topology Seminar (at OU), Fall 2008. Heegaard splittings of Haken manifolds have bounded distance - Student Topology Seminar (at OU), Fall 2008. Cohomology - Student Algebra Seminar (at OU), Spring 2008. An introduction to 3-manifolds - Student Topology Seminar (at OU), Fall 2007.

Kashyap Rajeevsarathy 5 Singular homology - Student Algebra Seminar (at OU), Fall 2007. Knot polynomials and skein relations - Student Topology Seminar (at OU), Fall 2007. 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, 2015. 30 th Annual conference of the Ramanujan Mathematical Society (at IISER Mohali), May 15-17, 2015. International conference on Geometry and Analytical Aspects of Hyperbolic Spaces (at Delhi University, India), December 10-15, 2014. Winter School in Mathematics (at IISER Bhopal, India), December 8-19, 2014. 79th Annual Meeting of the IMS (at Cochin, Kerala, India), December 28-31, 2013. Groups, Geometry and Dynamics (at Almora, UK, India), December 3-16, 2012. AMS Sectional Meeting (at Tampa, Fl, USA), March 10-11, 2012. 45 th Spring Topology and Dynamics Conference (at Tyler, TX, USA), March 17-19, 2011. 2011 Joint Mathematics Meetings (at New Orleans, LA, USA), January 6-9, 2011. Graduate Topology and Geometry Conference (at Ann Arbor, MI, USA), April 10-11, 2010. 44 th Spring Topology and Dynamics Conference (at Starkville, MS, USA), March 18-20, 2010. Honors and Grants Honors Ramanujan National Fellowship (at IISER Bhopal), Nov. 2011-16. John C. Brixley Graduate Scholarship (at OU), 2011. Corinne Price Scholarship (at OU), 2009. Andree Memorial Scholarship (at OU), 2008. Grants College of Arts and Sciences Travel grant (at OU), Fall 2011. Graduate Student Senate Travel/Conference grant (at OU), Spring 2010.

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, 2012. Mess Faculty Advisor (at IISER Bhopal), Sem 1-Sem 2, 2012. Hostel warden (at IISER Bhopal) - Sem 2, 2012. MATH Seminar organizer (at IISER Bhopal) - Sem 1, 2011. Graduate Student Seminar organizer (at OU) - Fall 2008, Spring 2009. Student Topology Seminar organizer (at OU) - Fall 2009, Spring 2010. Mathematics department representative to the Graduate Student Senate (GSS) (at OU) - Fall 2009, Spring 2010. Member of the Development and Philanthropy committee of the GSS (at OU) - Fall 2009, Spring 2010. Community Volunteer for community service programs organized by the Habitat for Humanity organization, USA. Memberships AMS membership, 2005 - present. Computer Skills Programming: LATEX, Mathematica, GAP, C, C++, HTML. Operating systems: Windows, Mac OSX, Linux.