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Preprints
sh-190 Graded convolutional networks: scale invariance without the scale and robustness to unknown blur — Tanush Shaskash-185 Beyond the Kummer Surface: Quotients of Quadratic Line Complexes and Certified Focal Geometry — Tanush Shaskash-184 Fresnel Fibers of Skewon-Free Linear Media: Duality, Polarization, and Interface Response — Tanush Shaskash-183 Decoy and disclosure radii of invariant shape descriptors — Lubjana Beshaj, Tanush Shaskash-182 Exact Euclidean-Invariant Surface Descriptors for Data-Efficient Learning from Segmented Anatomy — Tanush Shaskash-181 Chirality of spherical harmonics and automorphisms of hyperelliptic curves — Tanush Shaskash-180 Exact Quotients of Fresnel–Kummer Surfaces and Certified Biaxial Refraction — Tanush Shaskash-172 Turyn-Golay sequences, Hadamard structures, and RF applications — Lubjana Beshaj, Ilias Kotsireas, Tanush Shaskash-171 Cyclotomic Constraints and Cocyclic Structures for Turyn–Golay Quadruples — Ilias Kotsireas, Tanush Shaskash-170 Hyperoctahedral Symmetry and Invariant Filtering for Turyn–Golay Quadruples — Ilias Kotsireas, Tanush Shaskash-162 Detecting Superellipticity in Four-Point Hurwitz Spaces from Braid Monodromy — Tanush Shaskash-141 Code Equivalence and Automorphism Groups of Weighted Superelliptic Codes — Lubjana Beshaj, Tanush Shaskash-140 Hulls, linear equivalence, and weighted superelliptic codes — J. Mezinaj, Tanush Shaskash-136 Fine points of the moduli space of cubic rational maps — Tanush Shaskash-135 Cubic Isogenies — Shaska, Tsh-134 Superspecial points on Humbert surfaces and the probability of (N,N)-splitting — Tanush Shaskash-132 Orbits and fields of definition for graded Keller maps — K. Kistner, Tanush Shaskash-131 Graded Keller maps and the Jacobian Conjecture — Tanush Shaskash-129 Detecting Split Jacobians in Genus-Two Isogeny Graphs: The Humbert Form of Discriminant 36 — Tanush Shaskash-128 Degrees of Genus-Two Split-Jacobian Loci and Humbert-Form Reconstruction — Tanush Shaskash-126 Arithmetic Statistics on the Moduli Space of Genus 2 Curves / A Canonical Database for Rational Points in the Moduli Space of Genus-Two Curves — Elira Shaska, Tanush Shaskash-119 Graded Transformers with Sigma-Pi — Tanush Shaska, Ubaidash-117 The Tropical Moduli Space of Degree-3 Rational Maps — Tanush Shaska, Mohammad-Reza Siadatsh-115 Weighted Theta Heights and Kummer Heights on Genus-Two Jacobians — Sajad Salami, Tanush Shaskash-112 Stacky Heights and Zeta Functions of Weighted Hypersurfaces — Sajad Salami, Tanush Shaskash-111 Internalizing Tools as Morphisms in Graded Transformers — Tanush Shaskash-110 Explicit (n,n)-Splittings from Kummer Shadows — Lubjana Beshaj, Tanush Shaskash-109 Hierarchical Grading in Large Language Models — Tanush Shaskash-106 The invariant ring of degree-four rational maps on the projective line — Tanush Shaskash-103 Graded Quantum Codes — Tanush Shaskash-102 Quantum Weighted Algebraic Codes — Tanush Shaskash-99 Categorical Hypergraph Models for Distributed Data Fabrics — Tanush Shaska, Ilias Kotsireassh-97 Geometric Learning and Finsler Metrics in Weighted Projective Spaces — Tanush Shaskash-95 Graded Transformers: A Symbolic-Geometric Approach to Structured Learning — Tanush Shaskash-94 Arithmetic Sparsity and Cohomological Obstructions in Weighted Projective Spaces — Tanush Shaskash-93 Isogenies, Kummer surfaces, and theta functions — Adrian Clingher, Andreas Malmendier, Tanush Shaskash-92 Deciding Superellipticity and Computing Superelliptic Normal Forms — Tanush Shaskash-91 Rational Points and Zeta Functions of Humbert Surfaces over F_q — Jorge Mello, Sajad Salami, Elira Shaska, Tanush Shaskash-90 Weighted Heights and GIT Heights — Elira Shaska, Tanush Shaskash-89 Graded Neural Networks — Tanush Shaskash-87 Orbit counts and twist zeta functions of weighted projective stacks over finite fields — Sajad Salami, Tanush Shaskash-86 Neuro-Symbolic Learning for Irreducible Sextics: Unveiling Probabilistic Trends in Polynomials — Elira Shaska, Tanush Shaskash-85 Galois Groups of Quintics: A Neurosymbolic Approach to Polynomial Classification — Elira Shaska, Tanush Shaska2024-06 A Neurosymbolic Framework for Geometric Reduction of Binary Forms — Ilias Kotsireas, Tanush Shaska2024-05 Polynomials, Galois groups, and Database-Driven Arithmetic — Elira Shaska, Tanush Shaska2024-04 Rational Functions on the Projective Line from a Computational Viewpoint — Eslam Badr, Elira Shaska, Tanush Shaska2024-03 Machine learning for M₂ and an application to isogeny based cryptography — Elira Shaska, Tanush Shaska2024-02 Artificial neural networks on graded vector spaces — Tanush Shaska2024-01 Equations for generalized superelliptic Riemann surfaces — Rubén A. Hidalgo, Saúl Quispe, Tanush Shaska2023-01 Vojta's conjecture on weighted projective varieties — Sajad Salami, Tanush Shaska2022-1 Local and global heights on weighted projective varieties — Sajad Salami, Tanush Shaska2021-2 Arithmetic inflection of superelliptic curves — Ethan Cotterill, Ignacio Darago, Cristhian Garay López, Changho Han, Tanush Shaska2021-1 Geometry of Prym varieties for certain bielliptic curves of genus three and five — Adrian Clingher, Andreas Malmendier, Tanush Shaska2020-ii Algebraic geometry: a celebration of Emma Previato's 65th birthday — Ron Donagi, Tanush Shaska (eds.)2020-i Integrable systems: a celebration of Emma Previato's 65th birthday — Ron Donagi, Tanush Shaska (eds.)2020-1 Reduction of superelliptic Riemann surfaces — Tanush Shaska2019-5 The addition on Jacobian varieties from a geometric viewpoint — Yaacov Kopeliovich, Tanush Shaska2019-4 From hyperelliptic to superelliptic curves — Andreas Malmendier, Tanush Shaska2019-3 Superelliptic curves with many automorphisms and CM Jacobians — Andrew Obus, Tanush Shaska2019-2 On isogenies among certain abelian surfaces — Adrian Clingher, Andreas Malmendier, Tanush Shaska2019-1 Weighted greatest common divisors and weighted heights — Lubjana Beshaj, Jaime Gutierrez, Tanush Shaska2018-6 On automorphisms of algebraic curves — S. Allen Broughton, Tanush Shaska, Aaron Wootton2018-5 Kay Magaard (1962–2018) — Gerhard Hiss, Tanush Shaska2018-4 Computing heights on weighted projective spaces — Jorgo Mandili, Tanush Shaska2018-3 Six line configurations and string dualities — Adrian Clingher, Andreas Malmendier, Tanush Shaska2018-2 On the discriminant of certain quadrinomials — Shuichi Otake, Tanush Shaska2018-1 Curves, Jacobians, and cryptography — Gerhard Frey, Tanush Shaska2017-4 Coding theory — Menezes, van Oorschot, Joyner, Shaska, Shier, Goddard2017-3 Some remarks on the non-real roots of polynomials — Shuichi Otake, Tanush Shaska2017-2 Isogenous components of Jacobian surfaces — Lubjana Beshaj, Artur Elezi, Tanush Shaska2017-1 Reduction of binary forms via the hyperbolic centroid — Artur Elezi, Tanush Shaska2016-6 On generalized superelliptic Riemann surfaces — Rubén A. Hidalgo, Saúl Quispe, Tanush Shaska2016-5 Rational points in the moduli space of genus two — Lubjana Beshaj, Rubén A. Hidalgo, Serge Kruk, Andreas Malmendier, Saúl Quispe, Tanush Shaska2016-4 The Satake sextic in F-theory — Andreas Malmendier, Tanush Shaska2016-3 A universal genus-two curve from Siegel modular forms — Andreas Malmendier, Tanush Shaska2016-2 Self-inversive polynomials, curves, and codes — David Joyner, Tanush Shaska2016-1 On the field of moduli of superelliptic curves — Rubén A. Hidalgo, Tanush Shaska2015-4 Theta functions of superelliptic curves — Lubjana Beshaj, Artur Elezi, Tanush Shaska2015-3 Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes — Artur Elezi, Tanush Shaska2015-2 Weierstrass points of superelliptic curves — Caleb Shor, Tanush Shaska2015-1 The case for superelliptic curves — Lubjana Beshaj, Tanush Shaska, Eustrat Zhupa2014-2 Cyclic curves over the reals — Milagros Izquierdo, Tanush Shaska2014-1 Heights on algebraic curves — Tanush Shaska, Lubjana Beshaj2013-7 Bielliptic curves of genus 3 in hyperelliptic moduli — Tanush Shaska, F. Thompson2013-4 2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions — Tanush Shaska, Caleb Shor2013-3 Decomposition of some Jacobian varieties of dimension 3 — Lubjana Beshaj, Tanush Shaska2013-2 Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields — Tanush Shaska, Caleb Shor2013-1 On Jacobians of curves with superelliptic components — Lubjana Beshaj, Tanush Shaska, Caleb Shor2012-2 Genus two curves with many elliptic subcovers — Tanush Shaska2012-1 Some remarks on the hyperelliptic moduli of genus 3 — Tanush Shaska2011-2 On superelliptic curves of level n and their quotients — Lubjana Beshaj, Valmira Hoxha, Tanush Shaska2011-1 Quantum codes from superelliptic curves — Artur Elezi, Tanush Shaska2010-1 The arithmetic of genus two curves — Tanush Shaska, Lubjana Beshaj2009-1 Theta functions and algebraic curves with automorphisms — Tanush Shaska, G. S. Wijesiri2008-5 On some applications of graphs to cryptography and turbocoding — Tanush Shaska, Vasyl Ustimenko2008-4 Degree even coverings of elliptic curves by genus 2 curves — N. Pjero, M. Ramasaço, Tanush Shaska2008-3 Determining equations of families of cyclic curves — R. Sanjeewa, Tanush Shaska2008-2 On the homogeneous algebraic graphs of large girth and their applications — Tanush Shaska, Vasyl Ustimenko2008-1 Degree 4 coverings of elliptic curves by genus 2 curves — Tanush Shaska, G. S. Wijesiri, S. Wolf, L. Woodland2007-5 Quantum Codes from Algebraic Curves with Automorphisms — Tanush Shaska2007-4 Some open problems in computational algebraic geometry — Tanush Shaska2007-3 Thetanulls of cyclic curves of small genus — Emma Previato, Tanush Shaska, G. S. Wijesiri2007-2 Codes over rings of size p² and lattices over imaginary quadratic fields — Tanush Shaska, Caleb Shor, S. Wijesiri2006-4 Subvarieties of the hyperelliptic moduli determined by group actions — Tanush Shaska2006-3 Codes over F_{p²} and F_p×F_p, lattices, and theta functions — Tanush Shaska, Caleb Shor2006-2 Codes over rings of size four, Hermitian lattices, and corresponding theta functions — Tanush Shaska, G. S. Wijesiri2006-1 On the automorphism groups of some AG-codes based on C_{a,b} curves — Tanush Shaska, Quanlong Wang2005-4 A Maple package for hyperelliptic curves — Tanush Shaska, S. Zheng2005-3 Hyperelliptic curves of genus 3 with prescribed automorphism group — Jaime Gutierrez, David Sevilla, Tanush Shaska2005-2 Hyperelliptic curves with reduced automorphism group A₅ — David Sevilla, Tanush Shaska2005-1 Genus 2 curves that admit a degree 5 map to an elliptic curve — Kay Magaard, Tanush Shaska, Helmut Völklein2004-3 Invariants of binary forms — Vishwanath Krishnamoorthy, Tanush Shaska, Helmut Völklein2004-2 Genus two curves covering elliptic curves: a computational approach — Tanush Shaska2004-1 Galois groups of prime degree polynomials with nonreal roots — Arie Bialostocki, Tanush Shaska2003-4 Computational algebra and algebraic curves — Tanush Shaska2003-3 Hyperelliptic curves with extra involutions — Jaime Gutierrez, Tanush Shaska2003-2 Some special families of hyperelliptic curves — Tanush Shaska2003-1 On the generic curve of genus 3 — Tanush Shaska, Jennifer L. Thompson2002-3 Determining the automorphism group of a hyperelliptic curve — Tanush Shaska2002-2 Computational aspects of hyperelliptic curves — Tanush Shaska2002-1 Genus 2 curves with (3,3)-split Jacobian and large automorphism group — Tanush Shaska2001-2 The locus of curves with prescribed automorphism group — Kay Magaard, Tanush Shaska, Sergey Shpectorov, Helmut Völklein2001-1 Genus 2 fields with degree 3 elliptic subfields — Tanush Shaska2001-0 Curves of genus two covering elliptic curves — Tanush Shaska2000-2 Elliptic subfields and automorphisms of genus 2 function fields — Tanush Shaska, Helmut Völklein2000-1 Curves of genus 2 with (n,n)-decomposable Jacobians — Tanush Shaska