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University of Mumbai - Department of Atomic Energy

Centre for Excellence in Basic Sciences

मौलिक विज्ञान प्रकर्ष केन्द्र

Faculty

SWAGATA SARKAR

Reader

  • Ph.D., Mathematics, 2010. Institute of Mathematical Sciences, Chennai, India. (Homi Bhabha National Institute) Advisor: Prof. Parameswaran Sankaran. Thesis Title: Degrees of Maps between Complex Grassmann Manifolds.
  • M.Sc., Mathematics, 2003. University of Delhi (St. Stephen's College), Delhi, India.
  • B.Sc. (Hons) Mathematics, 1999. St. Stephen's College (University of Delhi), Delhi, India.
  • Reader, UM-DAE Centre for Excellence in Basic Sciences, Mumbai (July, 2022 – current).
  • Assistant Professor, UM-DAE Centre for Excellence in Basic Sciences, Mumbai (January 2018, – June, 2022).
  • Visiting Scientist I, UM-DAE Centre for Excellence in Basic Sciences, Mumbai, August 2015 - August 2017.
  • Research Associate II, UM-DAE Centre for Excellence in Basic Sciences, Mumbai, August 2017 - January, 2018.
  • Visiting Scientist, Indian Statistical Institute, Kolkata, August 2013 - September 2014.
  • NBHM Post-Doctoral Fellow, Indian Statistical Institute, Kolkata, August 2010 - July 2013.
  • Post-Doctoral Fellow, Indian Statistical Institute, Kolkata, March 2010 - July 2010.
  • Homogeneous Spaces
  • Maps between Homogeneous Spaces, Brouwer Degree of Maps
  • Symplectically Aspherical Manifolds
  • Equivariant Cobordism
  • Rational Homotopy Theory
  • Aspherical Spaces

Publications

Group Members

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Arnab Goswami

SRF

TEACHING

PROJECT STUDENTS (PAST AND PRESENT)

  • Seventh Semester Project, at CEBS, September, 2024 - January, 2025. Student: Shreya Daharwal; Project Title: Nielsen-Schreier Theorem.
  • Seventh Semester Project, at CEBS, September, 2023 - January, 2024 Student: Mohammed Sobeeh ; Project Title: Understanding Symmetry in 2D.
  • Seventh Semester Project, at CEBS, September - December, 2022 Student: Advaith Nair ; Project Title: CW Complexes and Milnor's Join Construction
  • Eighth Semester Project, at CEBS, March - June, 2021 Student: Krishnamohan Nandakumar ; Project Title: Singular Homology Theory.
  • Eighth Semester Project, at CEBS, February - May, 2021 Student: Sanskruti Karnawat ; Project Title: Realizability of Groups as Fundamental Groups.
  • Tenth Semester Project, at CEBS, January - April, 2019 Student: Sunil Rampuria ; Project Title: Singular and Simplicial Homology.
  • Tenth Semester Project, at CEBS, January - April, 2016 Student: Joji S. ; Project Title: Homology and Cohomology on Manifolds.

Integrated BS-MS Degree Courses Taught at CEBS

  • Mathematics I (First Semester)
  • Mathematics II (Second Semester)
  • Algebra I (First Semester)
  • Discrete Mathematics and Applications (First Semester)
  • Analysis I (Third Semester)
  • Analysis II (Fourth Semester)
  • Foundations (Third Semester)
  • Topology I (Fourth Semester for Math majors and Sixth Semester for non-Math majors)
  • Graph Theory and Applications (Fifth Semester)
  • Algebraic Topology (Seventh Semester)
  • Differential Topology (Eighth Semester)
  • Groups acting on Graphs (Elective for Ninth Semester)

Ph.D. Level Courses Taught at CEBS

  • Topology of Lie groups and Homogeneous Spaces, Reading Course.
  • Preliminaries on the work of Kervaire and Milnor, Reading Course.
  • Characteristic Classes and Vector Bundles, Reading Course.
  • Homology and Cohomology, Reading Course.
  • Readings on Complex Manifolds, Reading Course.
  • Differentiable Manifolds, Reading Course.
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UM-DAE Centre for Excellence in Basic Sciences

Nalanda Building, University of Mumbai, Vidyanagari, Mumbai 400098, India.

NEST/Outreach:+9186570 26481
NEST/Admissions:+9186570 26482
General Enquiries: info@cbs.ac.in
Admissions Queries:admissions@cbs.ac.in
Web: https://cbs.ac.in

 
About Us
CEBS was set up by the Department of Atomic Energy and the University of Mumbai in 2007. CEBS offers a 5 year integrated MSc program in Basic Sciences, with undergraduate teaching embedded in a postgraduate and research environment, for students who have completed 10+2 schooling or its equivalent.
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