Manik Dhar

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All published works

Action	Title	Year	Authors
+ PDF Chat	Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes	2024	Joshua Brakensiek Manik Dhar Jiyang Gao Sivakanth Gopi Matt Larson
+ PDF Chat	The Kakeya Set conjecture over Z/NZ for general N	2024	Manik Dhar
+	Furstenberg Sets in Finite Fields: Explaining and Improving the Ellenberg–Erman Proof	2023	Manik Dhar Zeev Dvir Ben Lund
+ PDF Chat	A construction of Maximally Recoverable LRCs for small number of local groups	2023	Manik Dhar Sivakanth Gopi
+ PDF Chat	Proof of the Kakeya set conjecture over rings of integers modulo square-free N	2021	Manik Dhar Zeev Dvir
+	The Kakeya Set Conjecture for $\mathbb{Z}/N\mathbb{Z}$ for general $N$	2021	Manik Dhar
+	Simple proofs for Furstenberg sets over finite fields	2021	Manik Dhar Zeev Dvir Benjamin Lund
+	Simple proofs for Furstenberg sets over finite fields	2019	Manik Dhar Zeev Dvir Ben Lund

Common Coauthors

Coauthor	Papers Together
Zeev Dvir	4
Sivakanth Gopi	2
Ben Lund	2
Joshua Brakensiek	1
Benjamin Lund	1
Matt Larson	1
Jiyang Gao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Recent work connected with the Kakeya problem	2003	Thomas Wolff	5
+ PDF Chat	THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS	2009	Jordan S. Ellenberg Richard Oberlin Terence Tao	4
+ PDF Chat	Improved lower bound on the size of Kakeya sets over finite fields	2008	Shubhangi Saraf Madhu Sudan	4
+	On the size of Kakeya sets in finite fields	2008	Zeev Dvir	4
+ PDF Chat	Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers	2013	Zeev Dvir Swastik Kopparty Shubhangi Saraf Madhu Sudan	3
+	Probabilistic algorithms for verification of polynomial identities	1979	Jacob T. Schwartz	3
+	Probabilistic algorithms for sparse polynomials	1979	Richard Zippel	3
+	Sharp density bounds on the finite field Kakeya	2021	Boris Bukh Ting-Wei Chao	2
+	The 𝑝-adic Kakeya conjecture	2022	Bodan Arsovski	2
+ PDF Chat	Kakeya-type sets in finite vector spaces	2011	Swastik Kopparty Vsevolod F. Lev Shubhangi Saraf Madhu Sudan	2
+ PDF Chat	Almost all non-archimedean Kakeya sets have measure zero	2018	Xavier Caruso	2
+ PDF Chat	The Fourier restriction and Kakeya problems over rings of integers modulo N	2018	Jonathan Hickman James Wright	2
+	Improved lower bound on the size of Kakeya sets over finite fields	2008	Shubhangi Saraf Madhu Sudan	2
+ PDF Chat	Incidence Theorems and Their Applications	2012	Zeev Dvir	2
+ PDF Chat	KAKEYA SETS OVER NON‐ARCHIMEDEAN LOCAL RINGS	2013	Evan P. Dummit Márton Hablicsek	2
+ PDF Chat	KAKEYA‐TYPE SETS IN LOCAL FIELDS WITH FINITE RESIDUE FIELD	2016	Robert Fraser	2
+ PDF Chat	Universal and Dynamic Locally Repairable Codes With Maximal Recoverability via Sum-Rank Codes	2019	Umberto Martínez-Peñas Frank R. Kschischang	1
+ PDF Chat	Incidence Bounds for Block Designs	2016	Ben Lund Shubhangi Saraf	1
+ PDF Chat	New constructions of SD and MR codes over small finite fields	2016	Guang‐Da Hu Sergey Yekhanin	1
+	Constructions of Maximally Recoverable Local Reconstruction Codes via Function Fields	2020	Venkatesan Guruswami Lingfei Jin Chaoping Xing	1
+	Furstenberg Sets in Finite Fields: Explaining and Improving the Ellenberg–Erman Proof	2023	Manik Dhar Zeev Dvir Ben Lund	1
+	Simple proofs for Furstenberg sets over finite fields	2019	Manik Dhar Zeev Dvir Ben Lund	1
+ PDF Chat	Proof of the Kakeya set conjecture over rings of integers modulo square-free N	2021	Manik Dhar Zeev Dvir	1
+ PDF Chat	Improved Maximally Recoverable LRCs Using Skew Polynomials	2022	Sivakanth Gopi Venkatesan Guruswami	1
+ PDF Chat	A Construction of Maximally Recoverable Codes With Order-Optimal Field Size	2021	Han Cai Ying Miao Moshe Schwartz Xiaohu Tang	1
+ PDF Chat	Incidence Theorems and Their Applications	2012	Zeev Dvir	1
+ PDF Chat	A construction of maximally recoverable codes	2022	Alexander Barg Zitan Chen Itzhak Tamo	1
+	Commutative Algebra	1995	David Eisenbud	1
+ PDF Chat	A General Family of MSRD Codes and PMDS Codes with Smaller Field Sizes from Extended Moore Matrices	2022	Umberto Martínez-Peñas	1
+	Maximal and $(m,ε)$-Kakeya bounds over $\mathbb{Z}/N\mathbb{Z}$ for general $N$	2022	Manik Dhar	1
+ PDF Chat	An Introduction To The Theory Of Numbers	2008	G. H. Hardy E. M. Wright	1
+ PDF Chat	Matching-Vector Families and LDCs over Large Modulo	2013	Zeev Dvir Guang‐Da Hu	1
+ PDF Chat	Furstenberg sets and Furstenberg schemes over finite fields	2016	Jordan S. Ellenberg Daniel Erman	1
+	On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry	1969	K. J. C. Smith	1
+ PDF Chat	On the Locality of Codeword Symbols	2012	Parikshit Gopalan Cheng Huang Huseyin Simitci Sergey Yekhanin	1
+ PDF Chat	New bounds for Kakeya problems	2002	N. Katz Terence Tao	1
+ PDF Chat	Locally Repairable Codes	2014	Dimitris Papailiopoulos Alexandros G. Dimakis	1
+ PDF Chat	Eigenvalues, geometric expanders, sorting in rounds, and ramsey theory	1986	Ilan Alon	1
+ PDF Chat	Explicit Maximally Recoverable Codes With Locality	2014	Parikshit Gopalan Cheng Huang B. Keith Jenkins Sergey Yekhanin	1
+	Superpolynomial Size Set-systems with Restricted Intersections mod 6 and Explicit Ramsey Graphs	2000	Vince Grolmusz	1
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	1
+ PDF Chat	On the rank of incidence matrices in projective Hjelmslev spaces	2014	Ivan Landjev Peter Vandendriesche	1
+	On the Dimension of Kakeya Sets and Related Maximal Inequalities	1999	Jean Bourgain	1
+ PDF Chat	Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers	2009	Zeev Dvir Swastik Kopparty Shubhangi Saraf Madhu Sudan	1
+ PDF Chat	Partial-MDS Codes and Their Application to RAID Type of Architectures	2013	Mario Blaum James Lee Hafner S. R. Hetzler	1
+	Matching-Vector Families and LDCs Over Large Modulo	2013	Zeev Dvir Guang‐Da Hu	1