Department of Basic Sciences & Engineering

Charu Goel Hello Charu Goel
Head of the Department & Assistant Professor
charu.goel@bse.iiitn.ac.in; charugoelin@yahoo.com
   
Education Experience Teaching Research Publications Supervision Responsibilities Any Other

Education
  • PhD in Mathematics from University of Konstanz, Germany (2014)
  • CT3-Probability & Mathematical Statistics certificate from Institute of Actuaries of India (2009)
  • M.Sc. (Honours School) Mathematics from Panjab University, Chandigarh, India (2008)
  • B.Sc. (Honours School) Mathematics from Panjab University, Chandigarh, India (2006)

Experience
  • 2018 to till date - Assistant Professor, IIIT Nagpur
  • August 2017 - May 2018 - Adjunct Assistant Professor, VNIT Nagpur
  • May 2016 - August 2017 - Postdoctoral Research Associate, IISER Mohali
  • May 2015 - April 2016 - Associated Fellow of Zukunftskolleg at University of Konstanz, Germany
  • August 2014 - December 2015 - Postdoctoral Research Fellow and Academic Assistant, University of Konstanz
  • August 2013 - December 2015 - Academic Assistant in the Research project: Informations- und Gespr?chsplattform "Frauen in der Mathematik: Wege in Studium und Beruf", University of Konstanz
  • October 2012 - July 2013 - Academic Assistant at the Department of Mathematics and Statistics, University of Konstanz
  • August 2011 - September 2012 - Research Assistant in the Research project "Real Algebraic Geometry and Emerging Applications", University of Konstanz
  • April 2010 - July 2011 - Student Assistant at the Lehrstuhl of Prof. Dr. S. Kuhlmann, Department of Mathematics and Statistics, University of Konstanz

Teaching
  • PhD course work CSE/ECE - Mathematics for Engineering Research (2019)
  • 2nd Sem CSE/ECE - Mathematics-II (2018)
  • 1st Sem CSE/ECE - Mathematics-I (2018, 2019)

Research
  • Area of Research
  • Real Algebraic Geometry (in particular Positive Polynomials and Sum of Squares, Invariant Theory)
  • Quadratic forms
  • Polynomial Optimization
  • Research Project
  • Invariant Nonnegative Forms vs Sums of Squares
  • Pythagorous numbers and Polynomial identities
  • Reviewer for Journal / Conference
  • Zentralblatt MATH

Publications
  • C. Goel, "Invariant Nonnegative forms as Sums of Squares", Extended abstract from the workshop "Real algebraic geometry with a view toward moment problems and optimization", Mathematisches Forschungsinstitut Oberwolfach Report, Volume 14 (2017), Issue 1, 771-862.
  • C. Goel, S. Kuhlmann, B. Reznick, "The analogue of Hilbert's 1888 theorem for Even Symmetric Forms", Journal of Pure and Applied Algebra (2017), 221, 1438-1448.
  • C. Goel, S. Kuhlmann, B. Reznick, "On the Choi-Lam analogue of Hilbert's 1888 theorem for Symmetric Forms", Linear Algebra and its Applications (2016), 496, 114-120.
  • C. Goel, "Extension of Hilbert's 1888 Theorem to Even Symmetric Forms", Dissertation (2014), University of Konstanz, available on Konstanzer Online-Publikations-System, 1-142.

Supervision
  • PhD.
  • M. Tech.
  • B.E. / B. Tech.
 
Responsibilities
  • Head of the Department, Basic Sciences, IIIT Nagpur
  • In-charge of Library and Multimedia Centre at IIIT Nagpur
  • Admission Committee member at IIIT, Nagpur
  • Member of Sexual Harassment Committee at IIIT Nagpur
 
Any Other
  • Member of European Women in Mathematics (EWM)
  • Professional working proficiency (level C1) in German language