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Faculty Details proforma for DU Web-site Title Designation Associate Professor First Name Ruchi Associate Professor Last Name Address Department of Mathematics University of Delhi Delhi-110007 Phone No Office Residence Mobile Email Web-Page Educational Qualifications Degree Ph.D. M.Phil. / M.Tech. PG UG Any other qualification Career Profile 91-11-27666658; Das Photograph [email protected] Institution The MS University of Baroda Year 1996 University of Allahabad University of Allahabad 1988 1984 Lecturer, Department of Mathematics, Faculty of Science, The M.S. University of Baroda, January 1996 to January 2005 Reader, Department of Mathematics, Faculty of Science, The M.S. University of Baroda, January 2005 to January 2008 Associate Professor, Department of Mathematics, Faculty of Science, The M.S. University of Baroda January 2008 to October 2012 Professor, Department of Mathematics, Faculty of Science, The M.S. University of Baroda, October 2012 till date ( on lien) Associate Professor, Department of Mathematics, Delhi University May 2014 to till date Administrative Assignments Convener, ICC, Department of Mathematics, University of Delhi Member, M.Phil Committee, Department of Mathematics, University of Delhi Head, Department of Mathematics, Faculty of Science, the M.S.University of Baroda, from December 2013 to May 2014 Member, Women Grievances cell, The M.S. University of Baroda (2009-2012) Member , Board of studies in Mathematics, The M.S. University of Baroda ( up to August 2014) Member, Departmental M.Phil committee, Department of Mathematics, Faculty of Science, the M.S.University of Baroda,(Nov.2008- May 2014) Member, Departmental Research committee, Department of Mathematics, Faculty of Science, the M.S.University of Baroda, ,(Nov.2008- May 2014) Convener, Syllabus Revision Committee ( at UG Level), Department of Mathematics, Faculty of Science, the M.S.University of Baroda(2010-2013) Member, Syllabus Revision Committee ( at PG Level), Department of Mathematics, Faculty of Science, the M.S.University of Baroda(2010-2013) Co coordinator, ,NBHM Library Grant ( February 2014-May 2014) Member, Faculty Board The M.S. University of Baroda ( up to August 2014) Member, CBCS Implementation Committee, Faculty of Science, The M.S. University of Baroda ( 2010-2013) Member, Annual Report committee , Faculty of Science, The M.S. University of Baroda ( 2011-2013) Member ,IQAC committee Faculty of Science, The M.S. University of Baroda ( 2012-2013 Areas of Interest / Specialization Dynamical Systems, Topology and Analysis www.du.ac.in Page 1 Subjects Taught Have taught almost all courses related to Algebra ( Abstract and Linear), Analysis ( Real, Complex, Functional), Differential Geometry, Topology, Dynamical Systems, Advanced calculus, Number Theory, Linear Programming Dynamical systems (including Chaos Theory and Ergodic Theory Research Guidance Ph. D. Students ( working) : Dhaval Thakkar, Dynamical Properties in Nonautonomous Discrete Dynamical Systems, The Maharaja Sayajirao University of Baroda. Mukta Garg, Topological Dynamical Systems, University of Delhi. ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// M. Phil. Student(working): Vijay Solanki, Expansiveness in Different Settings, The Maharaja Sayajirao University of Baroda. M. Sc. Dissertation Students ( completed): Pankhuri Sharma, On Lagrange’s Theorem and its Converse, The Maharaja Sayajirao University of Baroda. Sonam, On Nonautonomous Discrete Dynamical Systems, The Maharaja Sayajirao University of Baroda. Publications Profile Since 2012... 1.On Nonautonomous Discrete Dynamical Systems, International Journal of Analysis ,Volume 2014 (2014), Article ID 538691, 6 pages ( with Dhaval Thakkar) 2. Topological stability of a sequence of maps on a compact metric space, Bulletin of Mathematical Sciences, April 2014, Volume 4, , pp 99-111( with Dhaval Thakkar) 3. A Note on Nonwandering Set of a Nonautonomous Discrete Dynamical System, Applied Mathematical Sciences, Vol. 7, 2013, no. 138, 6849 – 6854 ( with Dhaval Thakkar) 4.Chaos of Product Map on G-Spaces, International Mathematical Forum, Vol. 8, 2013, no. 13, 647 – 652. 5.Asymptotic properties of G -expansive homeomorphisms on a metric G -space, Abstr. Appl. Anal., Vol. 2012, Article ID 237820, 10 pages, 2012. (with Tarun Das). 6.Chaos of a sequence of maps in a metric G-space, Applied Mathematical Sciences, Vol. 6, 2012, no. 136, 6769 – 6775. 7.Transitive subsets on G-space, Applied Mathematical Sciences, Vol. 6, 2012, no. 92, 4561-4568. 8.Topological transitivity of uniform limit functions on G -spaces, Int. Journal of Math. Analysis, 6 (2012), 1491 – 1499 (with Tarun Das). 9.On properties of G -expansive homeomorphisms, Math. Slovaca, 62 (2012), 531 – 538 (with Tarun Das). 10.On Convergence of sequences of real valued functions, Int. Journal of Math. Analysis, 6 (2012), 783 – 792 (with Tarun Das). 11.A note on representation of pseudovariant maps, Math. Slovaca, 62 (2012), 137 – 142 (with Tarun Das). www.du.ac.in Page 2 Conference Organization/ Presentations (in the last five years) International Conferences/Symposium/Workshops Organized ( Local Organizing Committee Member): ICTS Program on “Recent Trends in Ergodic Theory and Dynamical Systems”, December 18 - 24, 2012 (Workshop), December 26 - 29, 2012 (Discussion Meeting) (Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda). ICM2010 Satellite conference on “Various Aspects of Dynamical Systems", August 29 - September 01, 2010 (Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda). National Conferences/Symposium/Workshops Organized (Local Organizing Committee Member): NBHM sponsored ATML School on “Ordinary Differential Equations", June 02 - 15, 2011 (The Maharaja Sayajirao University of Baroda). National Seminar on Analysis, Differential Equations and Applications, January 30 - 31, 2009 (The Maharaja Sayajirao University of Baroda). Have delivered many invited talks at International and National Conferences / Seminars and Symposia. Research Projects (Major Grants/Research Collaboration) UGC Major research Project entitled “ On dynamical properties and chaotic behavior of maps” awarded in April 2013 for three years. Awards and Distinctions Short term visit ( May-June 2007) under Math Vision 2013 Project for collaborative research work at the Chungnam National University, Daejeon, South Korea. Visit to Department of Mathematics, University of Athens , Greece under Indo-Greek Cultural Exchange Programme from September 2000 to June 2001. UGC SRF October 1990 to September 2003. UGC JRF October 1988 to September 1990. Gold medals in B,Sc and M.Sc. Association With Professional Bodies Life member of Indian Mathematical Society Indian Science Congress Association Gujarat Ganit Mandal Bombay Mathematical Society. www.du.ac.in Page 3