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)
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
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)
Area of Research
Real Algebraic Geometry (in particular Positive Polynomials and Sum of Squares, Invariant Theory)
Invariant Nonnegative Forms vs Sums of Squares
Pythagorous numbers and Polynomial identities
Reviewer for Journal / Conference
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.
B.E. / B. Tech.
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
Member of European Women in Mathematics (EWM)
Professional working proficiency (level C1) in German language