Mohit Pal

About Me:

I am a postdoctoral fellow at the University of Bergen, Norway, under the mentorship of Prof. Lilya Budaghyan. I hold a Ph.D. in Mathematics from the Indian Institute of Technology Jammu, where I completed my dissertation under the supervision of Dr. Sartaj Ul Hasan. Prior to my doctoral studies, I served as a project fellow at the Harish-Chandra Research Institute, Allahabad, working with Prof. Kalyan Chakraborty and Prof. R. Thangadurai. I obtained my M.Sc. in Mathematics from the Indian Institute of Technology Kharagpur, where I conducted my master’s thesis research under the guidance of Prof. Ratna Dutta and Dr. Ramakrishna Nanduri. My academic journey began with a B.Sc. in Mathematics from the University of Allahabad.

Research Interests:

Cryptography: Boomerang uniformity, Differential uniformity, PN functions, APN functions, Threshold Implementations

Finite Fields: Permutation polynomials, Linearized polynomials, Planar functions

Work Experience:

• Jun’22-till date, Postdoctoral Fellow, University of Bergen, Norway.
• Apr’22-May’22, Visiting Student, Indian Statistical Institute Delhi, India.
• Dec’21-Mar’22, Project Fellow, Indian Institute of Technology Jammu, India.
• 2017-2018, Project Fellow, Harish-Chandra Research Institute Allahabad, India.

Educational Background:

• July’18-Oct’21, Ph.D. in Mathematics, Indian Institute of Technology Jammu, India.
• July’18-May’19, Visiting Student, Indian Institute of Technology Delhi, India.
• 2014-2016, Master of Science, Indian Institute of Technology Kharagpur, India.
• 2011-2014, Bachelor of Science, University of Allahabad, India.

Publication (in reverse chronological order):

• Lilya Budaghyan, Mohit Pal, Arithmetization-oriented APN Permutations, Des. Codes Cryptogr. (2024).

• Sartaj Ul Hasan, Mohit Pal, Dembowski-Ostrom polynomials and Dickson polynomials, Adv. Math. Commun. 18(4) (2024) 1084-1099.

• Sartaj Ul Hasan, Mohit Pal, Pantelimon Stănică, The binary Gold function and its c-boomerang connectivity table, Cryptogr. Commun. 14(6) (2022) 1257–1280.

• Sartaj Ul Hasan, Mohit Pal, Pantelimon Stănică, The c-differential uniformity and boomerang uniformity of some permutation polynomials, IEEE Trans. Inf. Theory. 68(1) (2022), 679–691.

• Sartaj Ul Hasan, Mohit Pal, Pantelimon Stănică, Boomerang uniformity of a class of power maps, Des. Codes Cryptogr. 89(11) (2021), 2627–2636.

• Sartaj Ul Hasan, Mohit Pal, Constanza Susana Riera, Pantelimon Stănică, On the c-differential uniformity of certain maps over finite fields, Des. Codes Cryptogr. 89(2) (2021), 221–239.

• Neranga Fernando, Sartaj Ul Hasan, Mohit Pal, Dembowski-Ostrom polynomials and reversed Dickson polynomials, Discret. Appl. Math. 298 (2021), 66–79.

Preprints:

• Mohit Pal, Some new classes of (almost) perfect c-nonlinear permutations, ArXiv.

• Mohit Pal, Pantelimon Stanica, A connection between the boomerang uniformity and the extended differential in odd characteristic and applications, ArXiv.

• Daniele Bartoli, Mohit Pal, Pantelimon Stanica, Tommaso Toccotelli, A proof of a conjecture on trivariate permutations, ArXiv.

• Daniele Bartoli, Mohit Pal, Pantelimon Stanica, A proof of a conjecture on permutation trinomials, ArXiv.

Reviewer for Journals

• Applicable Algebra in Engineering, Communication and Computing
• Cryptography and Communications
• Discrete Applied Mathematics
• IEEE Transactions on Information Theory
• Journal of Algebra and Its Applications

Participation in Schools/Workshops/Conferences:

• The 9th International Workshop on Boolean Functions and their Applications, Dubrovnik, Croatia 09-13 September 2024.
• SEquences and Their Applications (SETA-2024), Colchester, United Kingdom 01-05 July 2024.
• The 8th International Workshop on Boolean Functions and their Applications, Voss, Norway 03-08 September 2023.
• International Conference on Finite Fields and Their Applications, Paris, France 19-23 June 2023.
• Symmetric Techniques for Advanced Protocols, Lyon, France 22-23 April 2023.
• The 7th International Workshop on Boolean Functions and their Applications, Balestrand, Norway 11-16 September 2022.
• The Ernst Selmer International Workshop, Geiranger, Norway 21-27 August 2022.
• The 6th International Workshop on Boolean Functions and their Applications, Rosendal, Norway 06-10 September 2021.
• International Workshop on Cryptography and Coding Theory, Nanded, India 08-12 March 2021.
• Annual Foundation School-III, NISER Bhubaneswar, India 01-27 July 2019.
• Annual Foundation School-I, HRI Allahabad, India 06 May - 01 June 2019.
• Summer Program in Mathematics, HRI Allahabad, India 08-26 June 2015.

Coauthors (author naming convention: culture statement):

• Daniele Bartoli, University of Perugia, Italy.
• Lilya Budaghyan, University of Bergen, Norway.
• Neranga Fernando, College of the Holy Cross, USA.
• Sartaj Ul Hasan, IIT JAMMU, India.
• Constanza Susana Riera, Western Norway University of Applied Sciences, Norway.
• Pantelimon Stănică, Naval Postgraduate School, USA.

• Tommaso Toccotelli, University of Perugia, Italy.

  Erdős Number:

• My Erdős Number is: 3

  Mohit Pal –> Sartaj Ul Hasan –> Stephen D. Cohen –> Paul Erdős.

  Mohit Pal –> Pantelimon Stănică –> Carl Pomerance –> Paul Erdős.

• Erdős Number Project.

  Mathematics Genealogy:

  • My Mathematics Genealogy: Click Here.
  • Mathematics Genealogy Project.

  DISCLAIMER:

  This is a personal home page. Opinions expressed here do not represent the official views of my Organisation/Institute.