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Research.html
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<!-- saved from url=(0052)http://www.cs.iastate.edu/~satyadev/publications.htm -->
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<TITLE>Related to Research </TITLE>
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<P>In reverse chronological order. </P>
<H2>Research Papers and Preprints</H2>
<OL type=1>
<!-- <LI>On the expected number of real zeros of random sparse polynomials (joint work with G. Jindal, A. Pandey and C. Zisopoulos) <em>(submitted)</em>.</LI> -->
<LI>Computing Cassels-Tate pairing on odd-degree hyperelliptic curves <em>(in preparation)</em>.</LI>
<LI>Cassels-Tate pairing on 2-Selmer groups of elliptic curves. (joint work with Michael Stoll) <em>(in preparation).</em></LI>
<LI>How many zeros of a random sparse polynomial are real? (joint work with G. Jindal, A. Pandey and C. Zisopoulos), <em>45<sup>th</sup> International Symposium on Symbolic and Algebraic Computation</em> <em>(8 pages)</em>, Kalamata, Greece.</LI>
<LI>On Definable Functions of Atomless Boolean Algebras (joint work with A. S. Kuber) <em>(16 pages) (in preparation)</em>.
</LI>
<LI>Definable Combinatorics with Dense Linear Orders (joint work with A. Jain and A. S. Kuber),
<em> (21 pages) Archive for Mathematical Logic</em>.
</LI>
<LI>On Resource-Bounded van Lambalgen's Theorems (joint work with
Diptarka Chakraborty and Satyadev Nandakumar), <em>14<sup>th</sup>
Annual Conference on Theory and Applications of Models of
Computation (14 pages)</em>, Bern, Switzerland.
</OL>
<H2>Talks</H2>
<OL type=1>
<LI>On Resource-Bounded versions of the van Lambalgen's theorem,
<em>14<sup>th</sup>
Annual Conference on Theory and Applications of Models of
Computation</em>, Bern
2017.</LI>
<LI>On Grothendieck Rings of some partial orders. <em>Math-Stat. Seminar</em>, IIT Kanpur, 2018.</LI>
<LI>On expected number of zeros of random sparse polynomials. <em>Graduate School Seminar</em>, MPI-Inf. Saarbruecken, 2019.</LI>
<LI>Introduction to Heegner points-I and II at Oberseminar Arithmetische Geometry, Universit<span>ä</span>t Bayreuth, 2020. </LI>
<LI>Computing Cassels-Tate pairing for 2-selmer groups of elliptic curves at Oberseminar Arithmetische Geometry, Universit<span>ä</span>t Bayreuth, 2020. </LI>
<LI>Playing dodgeball with normality at Oberseminar Arithmetische Geometry, Universit<span>ä</span>t Bayreuth, 2021. </LI>
<LI>Cassels-Tate pairing on hyperelliptic curves at Oberseminar Arithmetische Geometry, Universit<span>ä</span>t Bayreuth, 2021. </LI>
<LI>Computing Cassels-Tate pairing on odd- degree hyperelliptic curves at Oberseminar Arithmetische Geometry, Universit<span>ä</span>t Bayreuth, 2022. </LI>
</OL type=1>
<H2>Workshops attended</H2>
<OL type=1>
<LI>Branching in Number Theory: p-adics in sciences, held at MPI-MiS, Leipzig, Germany</LI>
<LI>Elliptic curves and special-values of L-functions (online), held at ICTS, Bengaluru, India.</LI>
<LI>Workshop on
Theoretical and Computational aspects of Birch and Swinnerton Dyer Conjecture
held at ICTS, Bengaluru, India.</LI>
<LI>Workshop on
Perspectives in Complexity and Cryptography
held at IISc, Bengaluru, India.</LI>
</OL type=1>
<H2> Links for homepages to my co-authors and mentors</H2>
<a/ href="https://iuuk.mff.cuni.cz/~diptarka/">Diptarka Chakraborty</a>, <a/ href="https:home.iitk.ac.in/~arihantj">Arihant Jain</a>, <a/ href="https://sites.google.com/site/jhasom/">Somnath Jha</a>, <a/ href="">Amit Kuber</a>, <a/ href="https://www.cse.iitk.ac.in/users/rmittal/">Rajat Mittal</a>, <a/ href="https://www.cse.iitk.ac.in/users/satyadev/">Satyadev Nandakumar</a>, <a/ href="https://www.cse.iitk.ac.in/users/nitin/">Nitin Saxena</a>.
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