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Hi! I am Surinder Kaur. Currently I am a post doctoral fellow at the Indian Institute of Technology Delhi. I did my Ph.D. from the Indian Institute of Technology Ropar.

Research Interests

My doctoral thesis "Unit Group of Group Algebra" is based on the study of the normal complement problem and the conjugacy class problem in various classes of modular and semisimple group algebras.

Recently I have started working in the areas of additive combinatorics and nil clean rings.


Publications


  1. S. Kaur, M. Khan, The Normal Complement Problem and the Structure of the Unitary Subgroup, Communications in Algebra.

DOI: https://doi.org/10.1080/00927872.2020.1742727

  1. S. Kaur and M. Khan, A note on normal complement problem for split metacyclic groups, Communications in Algebra.

DOI:https://doi.org/10.1080/00927872.2019.1570242

3. S. Kaur and M. Khan, Normalized Unit Groups and their Conjugacy Classes, Proceedings Indian Academy of Sciences-Mathematical Sciences.

DOI: https://doi.org/10.1007/s12044-019-0533-5

4. S. Kaur and M. Khan, Class length of elements of group in the normalized unit group, International Electronic Journal of Algebra.

DOI: 10.24330/ieja.586920

5. S. Kaur and M. Khan, Units in Commutative Group Rings over Polynomial Ring, Asian-European Journal of Mathematics.

DOI: https://doi.org/10.1142/S1793557120500217

6. The Normal Complement Problem in some modular group algebras (under preparation).

Education

  1. Director's Fellow at the Indian Institute of Technology Ropar, 2020.

  2. Ph.D. (Mathematics) from the Indian Institute of Technology Ropar, 2019 (Supervisor: Dr. Manju Khan)

  3. M.Sc. Honours (Mathematics) from the Centre of Advanced Studies in Mathematics, Panjab University, Chandigarh, 2013.

Awards


  1. Sponsored by DAC to visit the Isaac Newton Institute for Mathematical Sciences, University of Cambridge, as an invited speaker at the programme “Groups, Representations and applications: new perspectives” held from Jan. 6 to Jan. 10, 2020.

  2. Provided financial support by the University St Andrews, Scotland, UK, to make a research visit in January 2020.

  3. Awarded Director's fellowship at IIT Ropar from July 2019 to Jan. 2020.

  4. Awarded travel support by Council of Scientific and Industrial Research (CSIR) to attend the conference “Groups, Rings and associated structures (GRAS), 2019” at Spa, Belgium.

  5. Awarded travel and accommodation support by TU Kaiserslautern, Germany to attend “GAP Singular meeting and school” held at Lambrecht, Germany from Aug. 15 to Aug 22, 2019.

  6. Qualified CSIR-JRF with All India Rank (AIR)-61 in Dec. 2014 and UGC-NET with AIR-52 in Dec. 2013.

  7. MHRD Institute fellow at IIT Ropar from July 2014 to July 2019.

  8. Qualified GATE with AIR-98 in Jan. 2014

Workshops/Conferences

  1. I gave an invited talk “Conjugacy Classes and the Normal Complement Problem in Modular Group Algebras” at the introductory workshop of the program “Group, Representations and Application: new perspectives” held at Isaac Newton Institute for Mathematical Sciences, University of Cambridge, Cambridge on Jan. 10, 2020.

  2. I was invited for a research visit at the University of St Andrews, Scotland, UK, from Jan. 12 to Jan.19, 2020.

  3. I gave an oral presentation titled “Normal complement problem for metacyclic groups” at the conference “Groups, Rings and associated structures (GRAS), 2019” held from June 10 to June 14, 2019 at Spa, Belgium.

  4. I attended the workshop “GAP in algebraic research” held in Aachen, Germany from Nov. 19 to Nov. 22, 2018.

  5. I attended the workshop “GAP Singular meeting and school” held at Lambrecht, Germany, from Aug. 15 to Aug. 22, 2019.

  6. I gave an oral presentation titled “A note on normal complement problem for metacyclic groups” at the annual research day “Cynosure and National Symposium on Advances in Mathematics- 2018” at IIT Ropar.

  7. I presented poster titled “Units in Commutative Group Rings over Polynomial Ring” at the workshop and discussion meeting “Group theory and Computational Methods” held at ICTS-TIFR, Bangalore from Nov. 5 to Nov. 14, 2016.

  8. I presented the paper titled “Units in Commutative Group Ring over Polynomial Ring” in the International Conference of The Indian Mathematics Consortium (ICTIMC) in co-operation with the American Mathematical Society (AMS) held at BHU, Varanasi from Dec. 14-17, 2016.

  9. I presented a poster at the conference “Group Algebras, Representations and Computation” held at ICTS, Bangalore, India from Oct. 14 to Oct. 23, 2019.