Harish Kishnani

Prime Minister’s Research Fellow, Mathematical Sciences,

Indian Institute of Science Education and Research Mohali

E-mail:  harishkishnani11@gmail.com, ph20021@iisermohali.ac.in

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Academics:

1. Currently enrolled as a PhD scholar at IISER Mohali since August 2020 under the supervision of  Dr. Amit Kulshrestha.

2. MSc (Mathematics), Indian Institute of Technology Indore. June 2020.

3. BSc, University Maharaja’s College, Jaipur. June 2018.

4. Intermediate, Rajasthan Board of Secondary Education. June2015.

5. Matriculation, Rajasthan Board of Secondary Education. June 2013. 

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Fellowships and Qualifications:

1.  Selected as 'Prime Minister’s Research Fellow' in Mathematical Sciences under May 2021 cycle.

2. Selected for the PhD fellowship 2020 of the 'National Board for Higher Mathematics'.

3. Qualified GATE 2020 with AIR 43.

4. Qualified CSIR NET-JRF December 2019 with AIR 86.

5. Qualified CSIR NET-LS June 2019 with AIR 43.

6. Selected for the Master’s scholarship 2019 − 2020 of the 'National Board for Higher Mathematics'.

7. Recipient of INSPIRE Scholarship from 2015 − 2020. 

8. Qualified JAM 2018 Examination with AIR 288.

9. Secured overall 16th rank in the board examination of class XII of the 'Rajasthan Board of Secondary Education'.

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Publications/Preprints:

•  Dilpreet Kaur, Harish Kishnani, and Amit Kulshrestha, Word images and their impostors in finite nilpotent groups, International Journal of Algebra and Computation, 2025, https://worldscientific.com/doi/epdf/10.1142/S0218196725500171

• Harish Kishnani, and Amit Kulshrestha, Automorphic word maps and the Amit--Ashurst conjecture, Journal of Group Theory, 2024, https://doi.org/10.1515/jgth-2023-0151

• Harish Kishnani, Rijubrata Kundu, and Sumit Chandra Mishra, Alternating groups as products of cycle classes-II, Journal of Algebraic Combinatorics 59, 635-660(2024).

• Harish Kishnani, Rijubrata Kundu, and Sumit Chandra Mishra, Products of conjugacy classes in $SL_2(k)$ and $PSL_2(k)$, Communications in Algebra 52 (2023), no. 4, 1501-1517.

• Harish Kishnani, Rijubrata Kundu, and Sumit Chandra Mishra, Alternating groups as products of cycle classes,

Discrete Mathematics 346 (2023), no. 7, 113470.

• Harish Kishnani, and Amit Kulshrestha, $R$-weighted graphs and commutators, arXiv:2505.05618 (2025).

• Harish Kishnani, and Amit Kulshrestha, Defects in weighted graphs and commutators,  arXiv:2505.07965 (2025).

Researchgate Link: - Click Here

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Talks Delivered: -

1. Products of cycle-classes of Symmetric Groups, Young Mathematicians’ Symposium, IISER Mohali, May 10, 2025.

2. Alternating groups as products of cycle-classes of the symmetric groups, Combinatorial Methods in Enumerative Algebra, ICTS Bengaluru, Dec 10, 2024.

3. Word maps on finite nilpotent groups and Amit--Ashurst Conjecture (Poster Presentation), New Perspectives in Computational Group Theory, A conference to celebrate the 75th birthday of Prof. Derek F. Holt, University of Warwick, June 24, 2024.

4. Automorphic words maps and Amit--Ashurst conjecture, Young Mathematicians’ Symposium, IISER Mohali, May 8, 2024.

5.  Identically distributed words on nilpotent groups, Workshop on Group Theory, IISER Pune, Feb 24, 2024.

6. A Survey on Word Maps and Future Directions, Graduate Students’ Seminar, IISER Mohali, Oct 28 2023.

7. Images and Probability Distributions of Word Maps, Inter IISER-NISER Mathematics Meet, NISER Bhubaneshwar, Sep 29 2023.

8. The word maps and their images, CMI-HIMR Summer School on Probabilistic Group Theory, University of Bristol, June 19 2023.

9. Word Maps on Finite Nilpotent Groups, Young Mathematicians’ Symposium, IISER Mohali, May 8 2023.

10. Word maps in finite simple groups and in finite nilpotent groups, Group Theory and Related Topics, NISER Bhubaneshwar, Feb 28 2023.

11. Images of word maps on finite groups, Workshop on Group Theory, IISER Pune, Jan 13, 2023.

12. Word maps on finite nilpotent groups, Graduate Students’ Seminar, IISER Mohali, Apr 09, 2022.

13. Word maps on finite groups, Combinatorics of Coxeter groups and Free groups, IISER Mohali, Feb 13, 2022.

14. Word maps on nilpotent groups of class-2, Workshop on Group Theory 2022, IISER Mohali, Feb 05, 2022.

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Conferences and Workshops Attended:-

1. Young Mathematicians’ Symposium 2025, IISER Mohali, May 9-11, 2025.

2. Combinatorial Methods in Enumerative Algebra, ICTS Bengaluru, Dec 2-13, 2024.

3. New Perspectives in Computational Group Theory, University of Warwick, June 24-26, 2024.

4. Young Mathematicians’ Symposium 2024, IISER Mohali, May 8-10, 2024.

5. Workshop on Group Theory 2024, IISER Pune, Feb 23-24, 2024.

6. Workshop on Group Theory and Around, HRI Prayagraj, Dec 14-20, 2023.

7. Inter IISER-NISER Mathematics Meet, NISER Bhubaneshwar, Sep 29-Oct 01, 2023.

8. CMI-HIMR Summer School on Probabilistic Group Theory, University of Bristol, June 19-23, 2023.

9. Young Mathematicians’ Symposium, IISER Mohali, May 8-9, 2023.

10. Group Theory and Related Topics, NISER Bhubaneshwar, Feb 27-March 04, 2023.

11. Workshop on Group Theory 2023, IISER Pune, June 13-14, 2023.

12. NCM Workshop on Finite Groups of Lie type (online), Aug-Sep 2021.

13. A course on Exceptional groups(online) by Dr. Maneesh Thakur, ISI Bangalore, July 2021.

14. Group Theory Sangam seminar series(online), June 01-04, 2021.

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Teaching Assistantship:- 

1. Tutor at AFS-1, IIT Jodhpur, Dec 2024.

2. Instructor for the course MATM1103T: (Topology-1), a postgraduate course of SMHS Government College, SAS Nagar, Punjab, September-November 2024.

3. Instructor for the course MAT-GE4-BM (Vector Analysis, Differential Equations and Transforms), an undergraduate course of Panjab University, Chandigarh, January-May 2024.

4. Tutor for NPTEL course Algebra-II, January-March 2024.

5. tutor for Theory of Computation (IDC204), an undergraduate course in computer languages (Spring 2024).

6. Tutor for Linear Algebra (MTH101), an undergraduate course in Linear Algebra (Monsoon 2024. Monsoon 2023).

7. Tutor for NPTEL course Introduction to rings and fields, Feb-March 2023.

8. Tutor for Analysis in one variable (MTH102), an undergraduate course in real analysis (Spring 2023, Spring 2022).

9. Tutor for NPTEL course Algebra-1, July-Oct 2022.

10. Tutor for Symmetry (MTH101), an undergraduate course on the role of groups and linear algebra in understanding symmetry (Monsoon 2022, Monsoon 2021).

11. Tutor for AFS-1, IIT Jodhpur, Dec 2022.

12. Tutor for the NCM Workshop on Finite Groups of Lie Type, Aug-Sep 2021.

13. Delivered lectures at Govt Sr. Sec. Smart School, Manauli, Punjab. Feb-Sep 2022.