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Mathematical and Statistical Sciences

Dr Emil Skoldberg

PhD

Biography

BSc (Mathematics and Computer science) Uppsala University, 1992
PhD (Mathematics) Stockholm University, 1997

I have worked at NUIG since 2002, at first as a Marie Curie postdoctoral fellow, and from 2003 as lecturer in mathematics. Before that, I was a research fellow at Stockholm university between 1998 and 2002, and lecturer in mathematics at Gävle University between 1997 and 1998.

My research interests lie in algebra, particularly in combinatorial commutative algebra.

Research Interests

I have worked on problems concerning the homology of combinatorially defined objects such as monomial algebras (commutative and noncommutative), partially ordered sets etc.

Research Projects

	Project	Start Date	End Date
	IRC EMBARK ISAAC BURKE EMIL SKOLDBERG	01-SEP-12	31-AUG-15
	IRCSET EMBARK 05 DAVID QUINN E SKOLDBERG	01-OCT-05	16-APR-09

Peer Reviewed Journals

	Year	Publication
	(2006)	'Morse theory from an algebraic viewpoint' Skoldberg, E (2006) 'Morse theory from an algebraic viewpoint'. Transactions Of The American Mathematical Society, 358 :115-129 [Details]
	(2017)	'The universal Grobner basis of a binomial edge ideal' Badiane, M,Burke, I,Skoldberg, E (2017) 'The universal Grobner basis of a binomial edge ideal'. Electronic Journal Of Combinatorics, 24 [Details]
	(2017)	'The universal Grobner basis of a binomial edge ideal' Badiane, M;Burke, I;Skoldberg, E (2017) 'The universal Grobner basis of a binomial edge ideal'. Electronic Journal Of Combinatorics, 24 [Details]
	(2018)	'Algebraic Morse theory and homological perturbation theory' Skoldberg, E (2018) 'Algebraic Morse theory and homological perturbation theory'. Algebra & Discrete Mathematics, 26 :124-129 [Details]
	(2018)	'Algebraic Morse theory and homological perturbation theory' Skoldberg, E (2018) 'Algebraic Morse theory and homological perturbation theory'. Algebra & Discrete Mathematics, 26 :124-129 [Details]
	(2019)	'The Hochschild cohomology of square-free monomial complete intersections' Tran, NTH;Skoldberg, E (2019) 'The Hochschild cohomology of square-free monomial complete intersections'. Communications In Algebra, 47 :3040-3055 [DOI] [Details]
	(2019)	'The Hochschild cohomology of square-free monomial complete intersections' Tran, NTH,Skoldberg, E (2019) 'The Hochschild cohomology of square-free monomial complete intersections'. Communications In Algebra, 47 :3040-3055 [DOI] [Details]
	(2020)	'The Hochschild cohomology rings of the numerical semigroup algebras of embedding dimension two' Skoldberg, E,Tran, NTH (2020) 'The Hochschild cohomology rings of the numerical semigroup algebras of embedding dimension two'. Journal Of Pure And Applied Algebra, 224 :1320-1339 [DOI] [Details]
	(2020)	'The Hochschild cohomology rings of the numerical semigroup algebras of embedding dimension two' Skoldberg, E;Tran, NTH (2020) 'The Hochschild cohomology rings of the numerical semigroup algebras of embedding dimension two'. Journal Of Pure And Applied Algebra, 224 :1320-1339 [DOI] [Details]
	(2010)	'Resolutions of Anick-type and perturbation theory' Sköldberg, E. (2010) 'Resolutions of Anick-type and perturbation theory'. [Details]
	(2002)	'On constructing resolutions over the polynomial algebra' Johansson, L; Lambe, L; Sköldberg, E (2002) 'On constructing resolutions over the polynomial algebra'. Homology, Homotopy And Applicatons, 4 (2 part 2):315-336 [Details]
	(2010)	'Cohomology rings of some non-spherical Artin groups' Ellis, G., Sköldberg, E. (2010) 'Cohomology rings of some non-spherical Artin groups'. [Details]
	(2010)	'The K(pi, 1) conjecture for a class of Artin groups' Ellis, G,Skoldberg, E (2010) 'The K(pi, 1) conjecture for a class of Artin groups'. Commentarii Mathematici Helvetici, 85 :409-415 [DOI] [Details]
	(2008)	'A contracting homotopy for Bardzell's resolution' Sköldberg, Emil (2008) 'A contracting homotopy for Bardzell's resolution'. Mathematical Proceedings Of The Royal Irish Academy, 108 (2):111-117 [DOI] [Details]
	(2006)	'Polytopal resolutions for finite groups' Ellis, G,Harris, J,Skoldberg, E (2006) 'Polytopal resolutions for finite groups'. Journal Fur Die Reine Und Angewandte Mathematik, 598 :131-137 [DOI] [Details]
	(2006)	'Morse theory from an algebraic viewpoint' Sköldberg, E (2006) 'Morse theory from an algebraic viewpoint'. Transactions Of The American Mathematical Society, 358 :115-129 [DOI] [Details]
	(2005)	'The homology of Heisenberg Lie algebras over fields of characteristic two' Sköldberg, E. (2005) 'The homology of Heisenberg Lie algebras over fields of characteristic two'. Mathematical Proceedings Of The Royal Irish Academy, 105A (2):47-49 [DOI] [Details]
	(2005)	'Going from cohomology to Hochschild cohomology' Sköldberg, E. (2005) 'Going from cohomology to Hochschild cohomology'. Journal Of Algebra, 288 (2):263-278 [DOI] [Details]
	(2001)	'Cyclic homology of quadratic monomial algebras' Sköldberg, E. (2001) 'Cyclic homology of quadratic monomial algebras'. Journal Of Pure And Applied Algebra, 156 (2):345-356 [DOI] [Details]
	(1999)	'Hochschild homology of truncated and quadratic monomial algebras' Sköldberg, E. (1999) 'Hochschild homology of truncated and quadratic monomial algebras'. London Mathematical Society. Journal, 59 (1):76-86 [DOI] [Details]
	(1999)	'Monomial Golod quotients of exterior algebras' Sköldberg, E. (1999) 'Monomial Golod quotients of exterior algebras'. Journal Of Algebra, 218 (1):183-189 [DOI] [Details]

Electronic Publication

	Year	Publication
	(2016)	The universal Gröbner basis of a binomial edge ideal. Badiane, M; Burke, I; Sköldberg, E (2016) The universal Gröbner basis of a binomial edge ideal. Electronic Publication [Details]
	(2016)	The minimal resolution of a cointerval edge ideal is multiplicative. Sköldberg, E (2016) The minimal resolution of a cointerval edge ideal is multiplicative. Electronic Publication [Details]
	(2013)	Algebraic Morse theory and homological perturbation theory. Sköldberg, E (2013) Algebraic Morse theory and homological perturbation theory. Electronic Publication [Details]
	(2011)	Resolutions of modules with initially linear syzygies. Sköldberg, E (2011) Resolutions of modules with initially linear syzygies. Electronic Publication [Details]
	(2011)	A parallel Buchberger algorithm for multigraded ideals. Vejdemo-Johansson, M; Sköldberg, E; Dusek, J (2011) A parallel Buchberger algorithm for multigraded ideals. Electronic Publication [Details]