T. N. Venkataramana

T. N. Venkataramana's AcademicInfluence.com Rankings

T. N. Venkataramana

Mathematics

#6540

World Rank

#9039

Historical Rank

Measure Theory

#5418

World Rank

#6423

Historical Rank

mathematics Degrees

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Mathematics

Why Is T. N. Venkataramana Influential?

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According to Wikipedia, Tyakal Nanjundiah Venkataramana is an Indian mathematician who specialises in algebraic groups and automorphic forms. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in 2001, the highest science award in India, in the mathematical sciences category. Venkataramana's first major work was the extension of G. A. Margulis's work on arithmeticity of higher rank lattices to the case of groups in positive characteristics. He also has contributions to non-vanishing theorems on cohomology of arithmetic groups, to Lefschetz type theorems on restriction of cohomology on locally symmetric spaces and to arithmeticity of monodromy groups.

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T. N. Venkataramana's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On systems of generators of arithmetic subgroups of higher rank groups (1994) (52)
Zariski dense subgroups of arithmetic groups (1987) (40)
On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic (1988) (36)
Image of the Burau Representation at $d$-th Roots of unity (2012) (31)
Cohomology of Compact Locally Symmetric Spaces (2001) (26)
RESTRICTION OF THE HOLOMORPHIC COHOMOLOGY OF A SHIMURA VARIETY TO A SMALLER SHIMURA VARIETY (1998) (23)
Discrete components of some complementary series (2010) (17)
Generations for Arithmetic Groups (2005) (13)
Discrete components of some complementary series representations (2010) (12)
Finitely generated profinitely dense free groups in higher rank semi-simple groups (2000) (11)
Construction of Some Generalised Modular Symbols (2004) (11)
Generators For All Principal Congruence Subgroups of SL(n, Z) with n ≥3 (1994) (10)
Monodromy of cyclic coverings of the projective line (2012) (10)
Hypergeometric Groups of Orthogonal Type (2014) (8)
Virtual Betti numbers of compact locally symmetric spaces (2006) (6)
On Cycles on Compact Locally Symmetric Varieties (2002) (6)
On the first cohomology of arithmetic groups (2001) (5)
Abelianness of Mumford–Tate Groups Associated to Some Unitary Groups (2000) (5)
The congruence topology, Grothendieck duality and thin groups (2017) (5)
Arithmeticity of the Braid Group at Roots of Unity (2012) (5)
ON THE RESTRICTION OF REPRESENTATIONS OF SL ( 2 , C ) TO SL ( 2 , R ) (2009) (4)
A remark on extended congruence subgroups (1999) (4)
A note on Steinberg modules and Frobenius splitting (1996) (4)
On the arithmeticity of certain rigid subgroups (1993) (3)
A Group Theoretical Characterisation of S-Arithmetic Groups in Higher Rank Semi-Simple Groups (2002) (3)
Jordan Decomposition in Lattices and Quasi Unipotence (2008) (2)
On the Restriction of Representations of SL(2, ℂ) to SL(2, ℝ) (2012) (2)
Lefschetz Properties of Subvarieties of Shimura Varieties (2002) (2)
LATTICES IN LIE GROUPS (2010) (2)
Cohomology of Arithmetic Groups and Representations (2011) (2)
Transient stability analysis using diakoptics (1978) (2)
On some rigid subgroups of semisimple Lie groups (1995) (2)
ON THE GCD OF AN INFINITE NUMBER OF INTEGERS (2004) (1)
A note on Steinberg modules and Frobenius splitting (1996) (1)
Monodromy and arithmetic groups (2013) (0)
Centrality (2022) (0)
ROLE OF MESH REPAIR IN PELVIC ORGAN PROLAPSE, WITH PARTICULAR REFERENCE TO VAULT PROLAPSE & NULLIPAROUS PROLAPSE (2017) (0)
Monodromy of cyclic coverings of the projective line (2013) (0)
Lie groups and algebraic groups (2009) (0)
New Perspectives on the Interplay between Discrete Groups in Low-Dimensional Topology and Arithmetic Lattices (2015) (0)
Design Evaluation and Development of Lumbar Cage (2020) (0)
The Big Picard Theorem and other results on Riemann surfaces (2009) (0)
On the first cohomology of cocompact arithmetic groups (1996) (0)
An analysis on rural and urban banking (1992) (0)
Full Braid Group at Roots of Unity (2012) (0)
Generators for all principal congruence subgroups of (,) with ≥3 (1994) (0)
On the Eichler-Shimura Congruence Relation (2003) (0)
PROGRAMMABLE ROBOTIC ARM REPLICATING MASTER ROBOT (2019) (0)
Differential Equations and Monodromy (2019) (0)
Arithmeticity of Some Monodromy Groups (2016) (0)
Proceedings of the International Conference on Cohomology of Arithmetic Groups, L-Functions and Automorphic Forms, Mumbai 1998 (2002) (0)
Virtual cohomology of the moduli space of curves in the unstable range (1996) (0)

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T. N. Venkataramana's Academic­Influence.com Rankings