Contact Information:
Algebra and Number Theory Seminar 2005-2006 2006-2007 ,
2007-2008 ,
2008-2009 ,
2009-2010 ,
2010-2011 ,
2011-2012 ,
2012-2013 2013-2014 2014-2015 ,
2015-2016 ,
2016-2017 ,
2017-2018 ,
2018-2019 MST 10010:
Calculus I New
developments in representation theory of algebras , OIST ,
Okinawa, November 18-30, 2024Modular
forms in String Theory , BIRS, Banff, September 25-30, 2016Hypergeometric
motives and Calabi-Yau differential equations , MATRIX
Institute, Creswick, January 8-27, 2017Low-dimensional topology
and number theory , MFO, August 20-26, 2017Trends in
Modular Forms , NIMS, Daejeon, December 19-22, 2017Periods in Number Theory, Algebraic
Geometry and Physics , HIM, Bonn, January 3-19, 2018Modular
forms and quantum knot invariants , BIRS, Banff, March 11-16,
2018AMS
Special Session on Mock modular and quantum modular forms ,
Portland State, April 14-15, 2018Antalya Algebra
Days XX , Nesin Mathematics Village, May 16-20, 2018Number
Theory and Algebra Seminar , University of Zagreb, October 30,
2018Modularity and
3-manifolds , ICERM, March 8-10, 2019MPIM Number Theory
Seminar , March 13, 2019Algebra
Seminar , TU Darmstadt, April 23, 2019James M. Flaherty
Visiting Professor , McMaster University, May 17-August 9, 20192nd q -Day:
q -series and related topics, KIAS, August 16, 2019 Fields
Institute Undergraduate Summer Research Program , July 2-August
30, 2019Colloquium
and Flaherty Public Lecture , McMaster University, September
27, 2019Vanderbilt Number
Theory Seminar , November 17, 2020Warsaw
Number Theory Seminar , November 30, 2020EIMI Number Theory
Seminar , December 8, 2020
SFB F50 Statusseminar , December 14-16, 2020Modularity in
Quantum Systems , KITP, November 30-December 18, 2020Graduate
Colloquium , University of Denver, April 23, 2021New connections in
number theory and physics , Isaac Newton Institute, Cambridge,
May 24-28, 2021Number Theory, Strings
and Quantum Physics , Kavli IPMU, May 31-June 5, 2021watch the
student talks!)MFO, Research in
Pairs , January 9-22, 2022MPIM Number Theory
Seminar , March 30, 2022AMS
Special Session on q -series, number theory and quantum
topology , co-organizer, University of Denver, May 14-15, 2022
Okinawa Institute of Science and
Technology , June 9 - September 1, 2022Kyushu
Mathematical Physics Seminar , Fukuoka, July 20, 2022slides and
thesis ,
September 5, 2022Representation
Theory XVII , Dubrovnik, October 3-8, 2022IRIF , Paris, December 4-17,
2022IRIF , Paris, July 2-8, 2023UCD
Undergraduate Research Projects , Summer 2023 (come watch the
student talks!)Exact
Asymptotics: From Fluid Dynamics to Quantum Geometry , OIST ,
Okinawa, August 28-September 15, 2023 Mathematical
Sciences Seminar Series , UCC, November 29, 2023University of Geneva ,
December 13-17, 2023Colloquium
talk , NISER , Bhubaneswar, January
5-12, 2024School
of Mathematical and Statistical Sciences Seminar , University
of Galway, January 30, 2024The
Web of Modularity , Tulane University, February 22-25, 2024Arbeitsgemeinschaft
Diskrete Mathematik , University of Vienna, May 28, 2024UCD
Undergraduate Research Projects , Summer 2024 (come watch the
student talks!) cv student
comments UCD profile UCD Today article, Spring 2020 (see page 15)UCD
College of Science Research and Teaching Showcase UCD
Today article, Spring/Summer 2023 (see page 34) OIST
Theoretical Sciences Visiting Program Public Talk , Okinawa,
July 7, 2022IRC
Advanced Laureate Award , 2023-2027Journal
of Combinatorial Theory, Series A Canadian
Journal of Mathematics Canadian
Mathematical Bulletin Canadian
Mathematical Communications Unimodal sequences
and mixed false theta functions ",Resurgence of Habiro
elements ",Knot theory and Rogers-Ramanujan type
identities ", Srinivasa Ramanujan: His Life,
Legacy and Mathematical Influence (Springer) , accepted for
publication.On sporadic sequences ",Monatshefte für Mathematik , 205, no. 2, (2024), 217-234.Rank
deviations for overpartitions ",Research in Number Theory , 10, no. 3, (2024), Paper No. 67.Asymptotics and
sign patterns for coefficients in expansions of Habiro elements ",Mathematische Zeitschrift, 304, no. 4, (2023), 57.A q -multisum
identity arising from finite chain ring probabilities ",Electronic Journal of Combinatorics , 29, no. 2, (2022), Paper
No. 2.4.The
colored Jones polynomial and Kontsevich-Zagier series for double
twist knots ",Journal of Knot Theory and its
Ramifications , 30, no. 5, (2021), 2150031.Quantum
modularity of partial theta series with periodic coefficients ", Forum Mathematicum , 33,
no. 2, (2021), 451-463.Variations of
Andrews-Beck type congruences ", Journal of Mathematical Analysis
and Applications , 495, no. 2, (2021), 124771.Generalized
Fishburn numbers and torus knots ", Journal of Combinatorial Theory,
Series A , 178 (2021), 105355.FUSRP
final report )Sequences,
modular forms and cellular integrals ", Mathematical Proceedings of the
Cambridge Philosophical Society , 168, no. 2, (2020),
379-404.The
colored Jones polynomial and Kontsevich-Zagier series for double
twist knots, II ", New York Journal of Mathematics ,
25 (2019), 1312-1349.Interpolated
sequences and critical L-values of modular forms ", , 327-349, Texts & Monographs in
Symbolic Computation, Springer, 2019.Constrained
ternary
integers ", International Journal of Number
Theory , 15, no. 2, (2019), 407-431.A modular
supercongruence for 6 F5 : an Apéry-like
story ",Annales de l'Institut Fourier
(Grenoble), 68, no. 5, (2018), 1987-2004.Mock
theta double sums ", Glasgow Mathematical Journal ,
59, no. 2, (2017), 323-348.q -series and tails of colored
Jones polynomials Indagationes Mathematicae, 28,
no. 1, (2017), 247-260.On a
conjecture of Kimoto and Wakayama ", Proceedings of the American
Mathematical Society , 144, no. 10, (2016), 4319-4327.The first
positive rank and crank moments for overpartitions ", Annals of Combinatorics ,
20, no. 2, (2016), 193-207.Supercongruences
for
sporadic sequences ", Proceedings of the Edinburgh
Mathematical Society (2), 59, no. 2, (2016), 503-518.Rogers-Ramanujan
type identities for alternating knots ", Journal of Number Theory ,
161, (2016), 255-280.On the
(K.2) supercongruence of Van Hamme ", Journal of Mathematical Analysis
and Applications , 433, no. 1, (2016), 706-711.On recursions for
coefficients of mock theta functions ", Research in Number Theory ,
1:29 (2015). Real
quadratic double sums ", Indagationes Mathematicae ,
26, no. 4, (2015), 697-712.On two 10th
order mock theta identities ",The Ramanujan Journal , 36,
no. 1-2, (2015), 117-121., "q -hypergeometric
series,
alternating knots and identities ", Oberwolfach Reports , 11,
no. 3, (2014), 2164-2167.Mixed mock
modular q -series ", Journal of the Indian
Mathematical Society, New Series. Special volume to
commemorate the 125th birth anniversary of Srinivasa Ramanujan,
(2013), 45-61.q -hypergeometric double sums
as mock theta functionsPacific Journal of Mathematics ,
264, no. 1, (2013), 151-162.A
supercongruence for generalized Domb numbers ",Functiones et Approximatio
Commentarii Mathematici , 48, no. 1, (2013), 29-36.The Bailey
chain and mock theta functions ", Advances in Mathematics ,
238 (2013), 442-458.Principal forms X^2
+ nY^2 representing many integers ",Abhandlungen aus dem
Mathematischen Seminar der Universität Hamburg , 81, no. 2,
(2011), 129-139.Supercongruences for
Apéry-like numbers ", Advances in Applied Mathematics ,
47, no. 3, (2011), 631-638.Congruences via
modular forms ",Proceedings of the American
Mathematical Society, 139, no. 7, (2011), 2375-2381. Quadratic forms
and four partition functions modulo 3 ",Integers , 11, no. 1,
(2011), 47-53. Supercongruences
satisfied by coefficients of 2 F1
hypergeometric series ",Annales des sciences mathématiques
du Québec , 34, no. 1, (2010), 25-36.M2 -rank
differences
for overpartitions ",Acta Arithmetica, 144, no.
2, (2010), 193-212.Automorphic
properties of generating functions for generalized rank moments
and Durfee symbols ",International Mathematics Research
Notices , no. 2, (2010), 238-260."Rank and
crank moments for overpartitions" , Journal of Number Theory ,
129, (2009), 1758-1772."M2 -rank
differences
for partitions without repeated odd parts" , Journal de Théorie des Nombres de
Bordeaux , 21, no. 2, (2009), 313-334."Gaussian
hypergeometric series and supercongruences" ,Mathematics of Computation, 78, no. 265, (2009), 275-292. A p -adic
analogue of a formula of Ramanujan ",Archiv der Mathematik , 91,
no. 6, (2008), 492-504."Rank
differences for overpartitions" ,The Quarterly Journal of
Mathematics , 59, no. 2, (2008), 257-273."Congruences for
traces of singular moduli" , The Ramanujan Journal , 14,
no. 3, (2007), 411-419."Representations
of
integers by certain positive definite binary quadratic forms", The Ramanujan Journal , 14,
no. 3, (2007), 351-359."On a conjecture of
Wilf" ,Journal of Combinatorial Theory,
Series A, 114, no. 7, (2007), 1332-1349."Two-dimensional
lattices with few distances" ,L'Enseignement Mathématique ,
52, (2006), 361-380."On sums of
three squares" , International Journal of Number
Theory , 1, no. 2, (2005), 161-173."A remark on a
conjecture of Borwein and Choi" , Proceedings of the American
Mathematical Society , 133, no. 10, (2005), 2903-2909."Vanishing
of
eigenspaces and cyclotomic fields" ,International Mathematics Research
Notices , no. 20, (2005), 1195-1202."A note on
4-rank densities" , Canadian Mathematical Bulletin ,
47, (2004), 431-438."Tame kernels and
further 4-rank densities" ,Journal of Number Theory ,
98, (2003), 390-406."Densities of
4-ranks of K_2(O)" , Acta Arithmetica, 102,
(2002), 45-54.Densities
of 4-ranks of K_2 of rings of integers ",Undergraduate Students: Fields
Institute Undergraduate Summer Research Program , July 1-August
29, 2019MSc Students: Somos
sequences and cluster algebras PhD Students: 5. Björn Johannesson, PhD, starting
9/2024Kevin Allen , PhD
student, 9/2021 to current, UCDPaul Beirne ,
PhD 2020, UCD IRC Postgraduate Scholarship 2. Dermot McCarthy ,
PhD 2010, UCDp -adic hypergeometric series and
supercongruences 1. Stefan de Wannemacker, PhD 2006,
UCD Postdoctoral
Fellows: 5.
Matthias
Storzer , October 2024-September 2027, UCD Advanced Laureate
Award Postdoc Yuma Mizuno , April
2024-March 2027, UCD2. Brundaban
Sahu , Nov. 2008-Oct. 2010, UCD AMS
Special Session on q -series, number theory and quantum
topology , University of Denver, May 14-15, 2022 Workshop on
Enumerative Combinatorics , UCD, March 10, 2021Modular
forms and quantum knot invariants , BIRS, Banff, March 11-16,
2018
Workshop on vertex operator algebras and mock modular forms ,
NUI Galway, May 22-23, 201527th
Automorphic
Forms Workshop , UCD, March 11-14, 2013Algebraic K-theory and
Arithmetic , Banach Center, Bedlewo, Poland, July 22-28,
2012Prospects in q -series and modular
forms , UCD, July 14-16, 2010AMS
Special
Session on Number Theory and applications in other fields ,
LSU, March 28-30, 2008AMS
Special
Session on Algebraic Number Theory and K-theory , LSU,
March 14-16, 2003Grants: IRC Advanced Laureate Award, December 2023 -
November 2027q -series, quantum knot invariants and modularity" € 993,160 € 16,000 € 1800 q KI+TQC" €21,800 € € 1500 UCD Seed Funding Scheme, February 2016q -series and quantum
knot invariants" € 1100 € 6000 Number Theory Foundation, January 2010q -series
and modular forms" Math Links: UCD School of Mathematics and
Statistics MPIM IHES Number Theory Web arXiv ESPN imdb David Lynch Tool Dublin Dublin City Gallery Irish Writers Centre IMMA Science Gallery 