- 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 ℝ
^{n}(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).

- 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).

Discrete
analogues of Kakeya problems, *University of
Edinburgh*, 2013.

PhD advisor: A. Carbery.

Morrey Visiting Assistant Professor,

MSRI Postdoctoral Fellow for Spring 2017 Harmonic Analysis program,

Research Fellow for J. Bennett's ERC project "Multilinear Transversal Harmonic Analysis",

PhD Discrete analogues of Kakeya problems with A. Carbery,

Bachelor degree in Mathematics,

- 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).

- Seminar talk at
*AIM workshop on Carleson theorems and multilinear operators*in San Jose, California (May 2015). - Seminar talk during
*IPAM long programme on Algebraic Techniques for Combinatorial and Computational Geometry*at IPAM, Los Angeles, California (April 2014).

- 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).

*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).

- Series of talks for
*Birmingham analysis working group*on L. Guth's improvement on paper A restriction estimate using polynomial partitioning by Larry Guth (Spring 2015).

*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 MSci student*Felix James-Kahn (School of Mathematics, University of Birmingham, 2015-2016).

*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).

*Hausdorff Trimester on harmonic analysis and analytic number theory at Hausdorff Institute of Mathematics*(with V. Blomer, F. Brumley, P. Gressman, L. Pierce), in progress.*Harmonic analysis and its interactions: in honour of Tony Carbery, Edinburgh*(with J. A. Barcelo, J. Bennett, P. Gressman, J. Wright), 17-21 July 2017.

*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.

*Birmingham analysis working group meetings*, Spring-Summer 2015.*Member of the Equality and Diversity Committee*(School of Mathematics, University of Birmingham), 2015-2016.

*Mathematical Sciences Research Institute, Berkeley*with Postdoctoral Fellowship for Spring 2017 Harmonic Analysis Program, January-May 2017.*Institute for Pure and Applied Mathematics, UCLA*, for long programme Algebraic Techniques for Combinatorial and Computational Geometry, March-May 2014.*Isaac Newton Institute, Cambridge*, for long programme Discrete Analysis, March-April 2011.

*Oberwolfach Research Institute for Mathematics*for Real Analysis, Harmonic Analysis, and Applications workshop, 23-29 July 2017.*American Institute of Mathematics*for workshop on Carleson theorems and multilinear operators, 18-22 May 2015.