Papers
- Inequalities of Riesz-Sobolev type for compact connected Abelian groups (with M. Christ) (2018).
- Sharp estimates for oscillatory integral operators
via polynomial partitioning (with L. Guth, J. Hickman) (2017), submitted.
- A multilinear Fourier extension
identity on ℝn (with J.
Bennett) (2017), to appear in Math. Res. Lett.
- A sharp k-plane Strichartz inequality
for the Schrödinger equation (with J.
Bennett, N. Bez, T. Flock, S. Gutierrez), Trans. Amer. Math. Soc. 370, no. 8, 5617-5633 (2018).
- Incidence
bounds on multijoints and generic joints, Discrete
Comput. Geom. 54,
no. 2, 481-512 (2015).
- Counting
multijoints, J. Combin. Theory Ser. A
136, 143-163
(2015).
- Flow
monotonicity and Strichartz inequalities, (with J. Bennett,
N. Bez), Int. Math. Res. Not. 19, 9415-9437
(2015).
- Counting
joints in vector spaces over arbitrary fields (with A.
Carbery) (2014).
- Counting
joints with multiplicities, Proc. Lond.
Math. Soc. (3)
106, no. 3,
675-702 (2013).
In preparation
- Joints formed by lines and a k-plane, and more (with A. Carbery).
- Sharp estimates for Hormander-type oscillatory integral operators with phase of any signature (with J. Hickman).
PhD thesis
Discrete
analogues of Kakeya problems, University of
Edinburgh, 2013.
PhD advisor: A. Carbery.
August 2016 - July 2019
Morrey Visiting Assistant Professor,
Department of Mathematics, UC Berkeley.
Jan 2017 - May 2017
MSRI Postdoctoral Fellow for Spring 2017 Harmonic Analysis program,
Mathematical Sciences Research Institute,
Berkeley.
Sep 2013 - Aug 2016
Research Fellow for J. Bennett's ERC project
"Multilinear Transversal Harmonic Analysis",
School of
Mathematics,
University of Birmingham.
Sep 2009 - Aug 2013
PhD
Discrete
analogues of Kakeya problems
with A. Carbery,
School
of Mathematics, University of Edinburgh.
Sep 2005 - Aug 2009
Bachelor degree in Mathematics,
Department
of
Mathematics, National and Kapodistrian University of Athens.
International
Conferences
- Talk at Harmonic Analysis: Recent Developments in Oscillatory Integrals session
at the Joint Mathematics Meeting in
Baltimore, USA (January 2019, upcoming).
- Talk at Harmonic
Analysis and its Connections to Geometric Measure Theory and
Combinatorics
session of CMS Winter Meeting in
Vancouver, Canada (December 2018, upcoming).
- Talk at conference First Congress of Greek Mathematicians,
FCGM-2018 in Athens, Greece (June 2018).
- Talk at conference RTG Workshop in Fourier
Analysis in Madison, Wisconsin, USA (May 2018).
- Talk at conference Mathematical Analysis
in Athens - Katavolos and Nestoridis in Athens, Greece (December 2017).
- Talk at conference Harmonic
analysis and its interactions: in honour of Tony Carbery in Edinburgh, UK (July 2017).
- Talk at Harmonic
Analysis
session of George
Boole Mathematical Sciences Conference in Cork,
Ireland (August 2015).
- Talk at special session Geometric
aspects of
harmonic analysis of joint EMS,
AMS, SPM
international meeting
in Porto, Portugal (June 2015).
- Talk at 14th
Panhellenic Analysis conference
in Patras, Greece (May 2012).
Workshops
Local
Workshops/Meetings
- Talk at Special Session on Analysis
and Geometry of Fractals at
AMS sectional meeting, San
Francisco, USA (October 2018, upcoming).
- Talk at MSRI Academic Sponsors Day, MSRI, Berkeley, USA (March 2017).
- Talk at LMS Graduate
Student Meeting
in
London, UK (November 2012); received prize for best talk.
- Talk at Harmonic
Analysis/PDEs Workshop
organised by LMS in Birmingham, UK (November 2011).
Seminars/Colloquia
- UC Davis analysis seminar (USA, June 2018).
- University of South Florida analysis colloquium (USA, March 2018).
- Caltech analysis seminar (USA, November 2017).
- Washington University at St Louis colloquium (USA, September 2017).
- MSRI postdoc analysis seminar (Berkeley, USA, May 2017).
- Durham geometry seminar
(UK, June 2016).
- London analysis seminar (at King's
College)
(UK, March 2016).
- Bristol combinatorics seminar
(UK, February 2016).
- Purdue
analysis seminar
(USA, December 2015).
- Indiana
analysis seminar
(USA, December 2015).
- Chicago
analysis seminar
(USA, December 2015).
- Wisconsin-Madison
analysis seminar
(USA, December 2015).
- Duke
analysis seminar
(USA, November 2015).
- MIT
analysis seminar
(November 2015).
- Joint Caltech-UCLA
analysis seminar
(USA, November 2015).
- Berkeley
analysis seminar
(USA, November 2015).
- Bristol
analysis seminar
(UK, October 2014).
- LSE discrete
mathematics and
game theory
seminar (UK, February 2014).
- Birmingham
joint combinatorics
and
analysis seminar (UK, October 2013).
- Edinburgh
analysis seminar
(UK, February 2013).
- Athens analysis seminar
(Greece, February 2013).
Study
groups
Lecturing
- Introduction to Analysis (Math 104)
(UC Berkeley, 2016-2019)
Notes: Real numbers,
Sequences,
Series,
Limits and Continuity,
Differentiability,
Uniform continuity,
Riemann integration,
Metric spaces.
- Combinatorics (Math 172) (UC Berkeley, Spring 2018-2019)
Notes for part of the course: An introduction to the polynomial
method in incidence geometry.
- Mathematical Tools for the Physical Sciences (Math 121A)
(UC Berkeley, Fall 2016)
Notes: Series, power series approximation,
Complex
numbers, Comples series, Holomorphic functions,
Contour
integration, Residue theory,
Conformal
mapping in fluid mechanics,
Fourier
series, Fourier analysis, Nyquist's sampling theorem,
Schrödinger equation,
Heat
equation, Convolutions, Gaussians,
The Laplace transform,
Calculus
of variations, Lagrange multipliers, applications.
- Advanced topics in
Analysis (School of Mathematics, University of Birmingham,
Fall 2014)
Notes: Functional analysis,
Hardy-Littlewood
maximal function, Lebesgue differentiation theorem,
Hausdorff dimension,
The Kakeya conjectures.
Supervising
- Supervising MSci student Felix
James-Kahn
(School of Mathematics, University of Birmingham,
2015-2016).
Turoring
- Exercise classes for
MSc course Pure
Analysis,
SMSTC
(School of Mathematics, University of Edinburgh, 2012&2013).
- Tutoring for undergraduate courses,
including
Applicable Mathematics and Mathematical Methods (Year 1), Proofs and
Problem Solving (Year 3), Metric Spaces (Year 3), Topology (Year 4)
(School of Mathematics, University of Edinburgh, 2009-2013).
Conferences/Long programmes
Meetings/Workshops
- Harmonic Analysis/PDEs
workshop,
Birmingham
(with J. Bennett, N. Bez), November 2013.
- Harmonic Analysis/PDEs
workshop,
Birmingham
(with T. Flock, T. Luque, M. Reguera), March 2015.
Other
- Birmingham analysis
working group meetings,
Spring-Summer 2015.
- Member of the Equality and Diversity Committee
(School of Mathematics, University of Birmingham), 2015-2016.