Mark McConnell

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All published works

Action	Title	Year	Authors
+ PDF Chat	Cohomology with Sym^g coefficients for congruence subgroups of SL_4(Z) and Galois representations	2024	Avner Ash Paul E. Gunnells Mark McConnell
+	Computing Hecke operators for arithmetic subgroups of $\text{Sp}_4$	2021	Dylan Galt Mark McConnell
+ PDF Chat	Cohomology with twisted one-dimensional coefficients for congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and Galois representations	2020	Avner Ash Paul E. Gunnells Mark McConnell
+	Computing Hecke Operators for Arithmetic Subgroups of General Linear Groups	2020	Mark McConnell Robert MacPherson
+ PDF Chat	On the Cohomology of Congruence Subgroups of GL<sub>3</sub> over the Eisenstein Integers	2019	Paul E. Gunnells Mark McConnell Dan Yasaki
+	Cohomology with twisted one-dimensional coefficients for congruence subgroups of SL(4,Z) and Galois representations	2018	Avner Ash Paul E. Gunnells Mark McConnell
+ PDF Chat	ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS	2018	Avner Ash Paul E. Gunnells Mark McConnell Dan Yasaki
+	On the cohomology of congruence subgroups of GL3 over the Eisenstein integers	2018	Paul E. Gunnells Mark McConnell Dan Yasaki
+	On the growth of torsion in the cohomology of arithmetic groups	2016	Avner Ash Paul E. Gunnells Mark McConnell Dan Yasaki
+ PDF Chat	Mod 2 homology for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi mathvariant="normal">GL</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> and Galois representations	2014	Avner Ash Paul E. Gunnells Mark McConnell
+	Mod 2 homology for GL(4) and Galois representations	2013	Avner Ash Paul E. Gunnells Mark McConnell
+	Resolutions of the Steinberg module for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2011	Avner Ash Paul E. Gunnells Mark McConnell
+	Resolutions of the Steinberg module for GL(n)	2011	Avner Ash Paul E. Gunnells Mark McConnell
+	Torsion in the cohomology of congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">SL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and Galois representations	2010	Avner Ash Paul E. Gunnells Mark McConnell
+	Torsion in the cohomology of congruence subgroups of SL(4,Z) and Galois representations	2010	Avner Ash Paul E. Gunnells Mark McConnell
+ PDF Chat	Cohomology of congruence subgroups of $ {SL}_4(\mathbb {Z})$. III	2010	Avner Ash Paul E. Gunnells Mark McConnell
+	Cohomology of Congruence Subgroups of SL_4(Z). III	2009	Avner Ash Paul E. Gunnells Mark McConnell
+ PDF Chat	Cohomology of congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">SL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> II	2008	Avner Ash Paul E. Gunnells Mark McConnell
+ PDF Chat	Sheafhom: Software for Sparse Integer Matrices	2007	Mark McConnell
+	Cohomology of Congruence Subgroups of SL(4,\Z) II	2007	Avner Ash Paul E. Gunnells Mark McConnell
+	Localised coherent solutions of the DSI and DSII equations—a numerical study	2005	Mark McConnell A. S. Fokas Beatrice Pelloni
+ PDF Chat	Hecke operators and Q-groups associated to self-adjoint homogeneous cones	2003	Paul E. Gunnells Mark McConnell
+	Cohomology of Congruence Subgroups of SL4(Z)	2002	Avner Ash Paul E. Gunnells Mark McConnell
+	Hecke operators and Q-groups associated to self-adjoint homogeneous cones	1998	Paul E. Gunnells Mark McConnell
+ PDF Chat	Cohomology at infinity and the well-rounded retract for general linear groups	1997	Avner Ash Mark McConnell
+	Cohomology at infinity and the well-rounded retract for general Linear Groups	1996	Avner Ash Mark McConnell
+	Cohomology at infinity and the well-rounded retract for general Linear Groups	1996	Avner Ash Mark McConnell
+	Galois representations from the cohomology of SL(3,ℤ)	1994	Mark McConnell
+	Explicit reduction theory for Siegel modular threefolds	1993	Robert MacPherson Mark McConnell
+	Doubly Cuspidal Cohomology for Principal Congruence Subgroups of GL(3,&#8484	1992	Avner Ash Mark McConnell
+	Mod p cohomology of SL(n, )	1992	Avner Ash Mark McConnell
+	Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)	1992	Avner Ash Mark McConnell
+ PDF Chat	Doubly cuspidal cohomology for principal congruence subgroups of 𝐺𝐿(3,𝑍)	1992	Avner Ash Mark McConnell
+	Classical projective geometry and arithmetic groups	1991	Mark McConnell

Common Coauthors

Coauthor	Papers Together
Avner Ash	23
Paul E. Gunnells	20
Dan Yasaki	4
Robert MacPherson	2
Beatrice Pelloni	1
A. S. Fokas	1
Dylan Galt	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Corners and arithmetic groups	1973	Armand Borel J-P. Serre	18
+	Cohomology of Congruence Subgroups of SL4(Z)	2002	Avner Ash Paul E. Gunnells Mark McConnell	16
+	Computing Heeke Eigenvalues Below the Cohomologieal Dimension	2000	Paul E. Gunnells	11
+	Galois representations attached to modp cohomology of GL(n,ℤ)	1992	Avner Ash	11
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	11
+	Classical projective geometry and arithmetic groups	1991	Mark McConnell	10
+	Cohomology of Groups	1982	Kenneth S. Brown	10
+	Computations of cuspidal cohomology of congruence subgroups of SL(3, Z)	1984	Avner Ash Daniel R. Grayson Philip Green	10
+	Unstable Cohomology of SL(n,O)	1994	Avner Ash	9
+	Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones	1977	Avner Ash	8
+	On the homology and cohomology of congruence subgroups	1976	Ronnie Lee Robert H. Szczarba	8
+	Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)	1992	Avner Ash Mark McConnell	8
+	Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Premier mémoire. Sur quelques propriétés des formes quadratiques positives parfaites.	1908	Georges Voronoï	8
+	Torsion in the cohomology of congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">SL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and Galois representations	2010	Avner Ash Paul E. Gunnells Mark McConnell	8
+	Cohomology of congruence subgroups of SL(n, ?)	1980	Avner Ash	7
+	A non-selfdual automorphic representation of GL3 and a Galois representation	1994	Bert van Geemen Jaap Top	7
+	The modular symbol and continued fractions in higher dimensions	1979	Avner Ash Lee Rudolph	7
+	Small-dimensional classifying spaces for arithmetic subgroups of general linear groups	1984	Avner Ash	7
+	An $$\widehat{A_4 }$$ extension of ? attached to a non-selfdual automorphic form onGL(3)	1991	Avner Ash Richard G. E. Pinch Richard Taylor	6
+	The cohomology of SL3(Z)	1978	Christophe Soulé	6
+	An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).	1991	Avner Ash Richard G. E. Pinch Richard Taylor	5
+	Cohomology of Congruence Subgroups of SL_4(Z). III	2009	Avner Ash Paul E. Gunnells Mark McConnell	5
+ PDF Chat	On torsion in the cohomology of locally symmetric varieties	2015	Peter Scholze	5
+ PDF Chat	Cohomology of congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">SL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> II	2008	Avner Ash Paul E. Gunnells Mark McConnell	5
+ PDF Chat	Cohomology of congruence subgroups of $ {SL}_4(\mathbb {Z})$. III	2010	Avner Ash Paul E. Gunnells Mark McConnell	5
+	Perfect forms, K-theory and the cohomology of modular groups	2013	Philippe Elbaz–Vincent Herbert Gangl Christophe Soulé	5
+	Galois representations with conjectural connections to arithmetic cohomology	2002	Avner Ash Darrin Doud David Pollack	5
+	Resolutions of the Steinberg module for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2011	Avner Ash Paul E. Gunnells Mark McConnell	5
+	On Efficient Sparse Integer Matrix Smith Normal Form Computations	2001	Jean‐Guillaume Dumas B. David Saunders Gilles Villard	4
+	Automorphic forms on Adele groups	1975	Stephen Gelbart	4
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	4
+	Heeke Eigenforms in the Cohomology of Congruence Subgroups of SL(3, Z)	1997	Bert van Geemen Wilberd van der Kallen Jaap Top Alain Verberkmoes	4
+ PDF Chat	An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the mod p$ cohomology of GL(n,ℤ)	2000	Avner Ash W. Sinnott	4
+	Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields	1984	J. E. Cremona	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	4
+ PDF Chat	The weight in a Serre-type conjecture for tame n-dimensional Galois representations	2009	Florian Herzig	4
+	On the torsion in K4(ℤ) and K5(ℤ)	1978	Ronnie Lee Robert H. Szczarba	4
+	Differential Forms in Algebraic Topology	1982	Raoul Bott Loring W. Tu	4
+ PDF Chat	On the cohomology of linear groups over imaginary quadratic fields	2016	Mathieu Dutour Sikirić Herbert Gangl Paul E. Gunnells Jonathan Hanke Annette Schürmann Dan Yasaki	3
+	Explicit reduction theory for Siegel modular threefolds	1993	Robert MacPherson Mark McConnell	3
+	A nonvanishing result for twists of L-functions of GL(n)	1994	Laure Barthel Dinakar Ramakrishnan	3
+ PDF Chat	Harmonic analysis in weighted L2-spaces	1998	Jens Frankē	3
+ PDF Chat	MODULAR FORMS AND ELLIPTIC CURVES OVER THE CUBIC FIELD OF DISCRIMINANT –23	2012	Paul E. Gunnells Dan Yasaki	3
+	On Representations and Compactifications of Symmetric Riemannian Spaces	1960	Ichirō Satake	3
+ PDF Chat	Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity	2013	Paul E. Gunnells Farshid Hajir Dan Yasaki	3
+	None	2002	Dinakar Ramakrishnan	3
+ PDF Chat	Doubly cuspidal cohomology for principal congruence subgroups of 𝐺𝐿(3,𝑍)	1992	Avner Ash Mark McConnell	3
+	Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues.	1986	Avner Ash Glenn Stevens	3
+	On Compactifications of the Quotient Spaces for Arithmetically Defined Discontinuous Groups	1960	Ichirō Satake	3
+	Cohomology of Groups	1982	Kenneth S. Brown	3