## Hamed Hatami

I'm an associate professor at the School of computer science and an associate member at the department of Mathematics and Statistics at * McGill University*.

I received my PhD from the department of Computer Science, * University of Toronto * under the supervision of Professors Michael Molloy and Balazs Szegedy. Before joining McGill, I spent a year as a Veblen fellow at the department of Mathematics, * Princeton University*.

## Research Interests

- Analytic methods in Combinatorics and Theoretical Computer Science
- Limit theory for graph sequences
- Analysis of Boolean functions
- Additive Combinatorics

## Contact Information

#### E-mail:

hatami at cs . mcgill . ca#### Office:

McConnell Engineering Building, Room 308

#### Mailing address:

McConnell Engineering Bldg, Room 3183480 University Montreal, Qc, Canada, H3A 0E9

## Selected Publications

- H. Hatami,
**A structure theorem for Boolean functions with small total influences**, Annals of Mathematics, 176 (2012), no. 1, 509–533. [arXiv] - H. Hatami and Serguei Norine,
**Undecidability of linear inequalities in graph homomorphism densities**, Journal of the American Mathematical Society, 24(2) (2011), 547-565. [arXiv]

# Students

# Teaching

### Current and future teaching:

### Past Graduate Courses:

### Past Undergraduate Courses:

# Publications

- H. Hatami, Sergey Norin,
**On the boundary of the region defined by homomorphism densities**,

Journal of Combinatorics, to appear [arXiv] - H. Hatami, Yingjie Qian,
**The Unbounded-Error Communication Complexity of symmetric XOR functions,**

submitted. [arXiv] - Yuval Filmus, H. Hatami, Yaqiao Li, Suzin You,
**Information complexity of the AND function in the two-party and multi-party settings,**

COCOON 2017. [arXiv] - Yuval Dagan,
Yuval Filmus,
H. Hatami, Yaqiao Li,
**Trading information complexity for error,**

CCC 2017. [arXiv] - H. Hatami,
Kaave Hosseini,
Shachar Lovett,
**Structure of protocols for XOR functions,**FOCS 2016. [ECCC] - H. Hatami, Yingjie Qian,
**Teaching dimension, VC dimension, and critical sets in Latin squares**,

Journal of Combinatorics, to appear [arXiv] - H. Hatami, Victoria de Quehen,
**On the additive bases problem in finite fields**,

Electronic Journal of Combinatorics, to appear [arXiv] - H. Hatami,
Pooya Hatami,
Yaqiao Li,
**A characterization of functions with vanishing averages over products of disjoint sets**,

European J. Combin. 56 (2016), 81--93. [arXiv] - Yuval Filmus, H. Hatami, Nathan Keller, Noam Lifshitz,
**On the sum of the L1 influences of bounded functions**,

Israel Journal of Mathematics. (2016), no. 1, 167--192. [arXiv] - H. Hatami,
Pooya Hatami,
Shachar Lovett,
**General systems of linear forms: equidistribution and true complexity,**

Advances in Mathematics 292 (2016), 446--477. [arXiv] - H. Hatami, Svante Janson, Balazs Szegedy,
**Graph properties, graph limits and entropy**,

Journal of Graph Theory. [arXiv] - H. Hatami, Laszlo Lovasz, Balazs Szegedy,
**Limits of local-global convergent graph sequences**,

Geometric and Functional Analysis, 24 (2014), no. 1, 269–296. [arXiv] - H. Hatami, Pooya Hatami, James Hirst,
**Limits of Boolean Functions on F_p^n**,

Electronic Journal of Combinatorics 21(4), (2014). [Download] - H. Hatami, James Hirst,
Serguei Norine,
**The inducibility of blow-up graphs**,

J. Combin. Theory Ser. B 109 (2014), 196–212. [arXiv] - H. Hatami Shachar Lovett,
**Estimating the distance from testable affine-invariant properties,**

FOCS 2013. [arXiv] - Arnab Bhattacharyya,
Eldar Fischer,
H. Hatami,
Pooya Hatami,
Shachar Lovett,
**Every locally characterized affine-invariant property is testable,**

STOC 2013. [arXiv] - H. Hatami, Serguei Norine,
**The entropy of random-free graphons and properties**,

Combinatorics Probability and Computing, 22 (2013), no. 4, 517–526. [arXiv] - H. Hatami and Shachar Lovett,
**Correlation testing for affine invariant properties on F_p^n in the high error regime**,

STOC 2011. [arXiv] - Anil Ada, Omar Fawzi, H. Hatami,
**Spectral norm of symmetric functions**,

APPROX-RANDOM 2012: 338-349. [arXiv] - H. Hatami, Jan Hladky,
Daniel Kral,
Serguei Norine,
Alexander Razborov,
**On the number of pentagons in triangle-free graphs**,

J. Combin. Theory Ser. A, 120 (2013), no. 3, 722-732. [arXiv] - H. Hatami, Jan Hladky,
Daniel Kral,
Serguei Norine,
Alexander Razborov,
**Non-three-colorable common graphs exist**,

Combinatorics Probability and Computing, 21 (2012), no. 5, 734-742. [arXiv] - H. Hatami,
**A structure theorem for Boolean functions with small total influences**,

Annals of Mathematics, 176 (2012), no. 1, 509–533. [arXiv] - H. Hatami, Shachar Lovett,
**Higher-order Fourier analysis of F_p^n and the complexity of systems of linear forms**,

Geometric and Functional Analysis, 21 (2011), no. 6, 1331–1357. [arXiv] - H. Hatami, Serguei Norine,
**Undecidability of linear inequalities in graph homomorphism densities**,

Journal of the American Mathematical Society, 24(2) (2011), 547-565. [arXiv]

### Graduate school

- H. Hatami, Michael Molloy,
**The scaling window for a random graph with a given degree sequence**,

Random Structures & Algorithms , 41 (2012), no. 1, 99–123.

SODA10 . [ arXiv] - H. Hatami,
**Graph norms and Sidorenko's conjecture**,

Israel Journal of Mathematics 175(1) (2010), 125-150. [arXiv] - H. Hatami,
**Decision trees and influence of variables over product probability spaces**,

Combinatorics Probability and Computing 18 (2009), 357-369. [arXiv]

- H. Hatami, Xuding Zhu,
**The fractional chromatic number of graphs of maximum degree at most three,**

SIAM Journal on Discrete Mathematics 23(4) (2009), 1762-1775. - Mahya Ghandehari, H. Hatami, Nico Spronk,
**Amenability constants for semilattice algebras,**

Semigroup forum 79(2) (2009), pp. 279-297. [arXiv] - H. Hatami, Michael Molloy,
**Sharp thresholds for constraint satisfaction problem and graph homomorphisms**,

Random Structures & Algorithms , 33(3) (2008), pp. 310-332. [arXiv] - Mahya Ghandehari, H. Hatami,
**Fourier analysis and large independent sets in powers of complete graphs,**

J. Combin. Theory Ser. B 98(1), (2008), pp. 164-172. [arXiv] - H. Hatami, Avner Magen, Vangelis Markakis,
**Integrality gaps of semidefinite programs for Vertex Cover and relations to $\ell_1$ embeddability of Negative type metrics**,

SIAM Journal on Discrete Mathematics, 23(1) (2008/09), pp. 178-194. [arXiv]

- H. Hatami,
**A remark on Bourgain's distributional inequality on the Fourier spectrum of Boolean functions,**

Online Journal of Analytic Combinatorics 1 (2006). [download] - H. Hatami,
**Random cubic graphs are not homomorphic to the cycle of size 7,**

J. Combin. Theory Ser. B 93(2) (2005) pp. 319-325. [arXiv]

- H. Hatami,
**Delta+300 is a bound on the adjacent vertex distinguishing edge chromatic number**,

J. Combin. Theory Ser. B 95(2) (2005) pp. 246-256. [arXiv]

- H. Hatami, Pooya Hatami,
**Perfect dominating sets in the Cartesian products of prime cycles**,

Electronic Journal of Combinatorics 14(8), (2007). [Download] - Peyman Afshani, H. Hatami,
**Approximation and inapproximability results for maximum clique of disc graphs in high dimensions**,

Information Processing Letters, 105(3), (2008), pp. 83-87. [arXiv]

### Undergraduate

- Peyman Afshani, Mahsa Ghandehari, Mahya Ghandehari, H. Hatami, Ruzbeh Tusserkani,
Xuding Zhu,
**Circular chromatic index of graphs of maximum degree 3**,

Journal of Graph Theory. 49(4) (2005) pp. 325-335. [arXiv]

- H. Hatami, Ruzbeh Tusserkani,
**On the complexity of the circular chromatic number**,

Journal of Graph Theory. 47(3) (2004) pp. 226-230. [arXiv]

- H. Hatami, Hossein Maserrat,
**On the computational complexity of defining sets**,

Journal of Discrete Applied Mathematics .149(1-3) (2005) pp. 101-110. [arXiv]

- Mahya Ghandehari, H. Hatami,
E.S. Mahmoodian,
**On the size of the minimum critical set of a Latin square**,

Journal of Discrete Mathematics. 293(1-3) (2005) pp. 121-127. [arXiv]

- Peyman Afshani, H. Hatami, E.S. Mahmoodian,
**On the size of the spectrum of the forced matching number of graphs**,

Australasian Journal of Combinatorics, 30 (2004) pp. 147-160. [arXiv] - H. Hatami, E.S. Mahmoodian,
**A lower bound for the size of the largest critical sets in Latin squares**,

Bulletin of the Institute of Combinatorics and its Applications (Canada). 38 (2003) pp.19-22. [arXiv]

# Resume

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