Research

Analytic Number Theory
Riemann Zeta function, Dirichlet and Hecke L functions
Zero-density and zero-free regions
Distribution of prime numbers
Chebotarev’s density theorem
Explicit Results

• Sharper bounds for the error term in the Prime Number Theorem
  with Andrew Fiori and Joshua Swidinsky, June 2022, arXiv:2206.12557

• Sharper bounds for the Chebyshev function psi(x)
  with Andrew Fiori and Joshua Swidinsky, to appear in Journal of Mathematical Analysis and Applications.
  https://arxiv.org/abs/2204.02588

• Primes in the Chebotarev density theorem for all number fields
  with Peng-Jie Wong, Journal of Number Theory (electronic version April 2022). 

• Sharper bounds for the Chebyshev function 𝜃 (𝑥)
  with Sam Broadbent, Allysa Lumley, Nathan Ng, and Kirsten Wilk, Math. Comp. 90 (2021), 2281-2315.

• The least prime ideal in the Chebotarev Density Theorem
  with Nathan Ng and Peng Jie Wong, Proc. Amer. Math. Soc. 147 (2019), 2289-2303

• Explicit zero density for the Riemann Zeta function
  with Allysa Lumley and Nathan Ng, J. Math. Anal. Appl. 465 (2018) 22-46.

• Explicit zero-free regions for Dirichlet L-functions
  Mathematika 64 (2018), 445-474.

• Short intervals containing primes
  with Allysa Lumley, #A61, Integers 14 (2014), 18p.

• New bounds for psi(x)
  with Laura Faber, Math. Comp. 84 (2015), no. 293, 1339–1357.

• A zero density result for the Riemann zeta function
  Acta Arith. 160 (2013), 185–200.

• Explicit zero density theorems for Dedekind Zeta functions
  with Nathan Ng, J. of Number Theory Vol. 132, (2012) 748-775.

• Explicit zero-free regions for Dedekind Zeta functions
  Int. J. of Number Theory 2 Vol. 8, No. 1 (2012) 1-23,

• Short effective intervals containing primes in arithmetic progressions and a seven cubes problem
  Math. Comp. 77 (2008), 1733-1748.

• Une région explicite sans zéros pour la fonction Zêta de Riemann
  Acta Arith. 117.4 (2005), 303-339.

In preparation

• Sharper bounds for Mertens Sums
  with Sam Broadbent, Nathan Ng, and Kirsten Wilk

• An explicit version of Chebotarev density theorem
  with Sourabhashi Das and Nathan Ng, 46 pages

• Primes in Arithmetic Progression
  with Allysa Lumley, 47 pages.

EDI

• About the necessity of collecting data to improve EDI in mathematics
  MOSAIC, CMS Notes, February 2021.

Other

• PhD thesis: Régions explicites sans zéros pour les fonctions L de Dirichlet

• MSc memoir: Sur la distribution des entiers premiers à q

• 2021
  SFU Quarantined Number Theory Algebraic Geometry seminar, Primes in the Chebotarev density theorem for all number fields, SFU (Vancouver) in person, Oct 21 2021, Invited Speaker. 

Summer School Inclusive Paths in Analytic Number Theory, online, Aug 23-27 2021, Organizing team and plenary speaker:
Prime Numbers and Riemann Zeta Function (3 lectures).

Amicale de theorie des nombres en hommage a Robert Langlands, CMS 75+1 th anniversary Summer Meeting, online/Ottawa, Ideaux premiers dans le theoreme de densite de Chebotarev pour tous les corps de nombres, June 7-11 2021, Invited Speaker.

• 2020
  Calgary Algebra and Number Theory Seminar, Completely explicit results for primes in Chebotarev density theorem, Jan 30 2020, Invited Speaker.
  PIMS-Lethbridge Number Theory and Combinatorics Seminar, Explicit results about primes in Chebotarev's density theorem, Jan. 27 2020, Speaker, MathTube.

• 2019
  Dec. 2019: Analytic Number Theory Session, CMS Winter Meeting, Toronto, Explicit results about primes in Chebotarev's density theorem.

• 2018
  Nov. 2018: Association for Women in Math. Colloquium Series, U. of Calgary, Calgary AB, Prime Time.
  Jul. 2018: A Celebration of CICMA's postdoctoral program, U. de Montréal, Montréal, QC, Explicit Results about zeros of L-functions and Primes.
  Jun. 2018: CMS Summer meeting 2018, Fredericton, NB, A bound for the least prime ideal in the Chebotarev density theorem.
  May 2018 & Alberta Math Dialogue, U. of Calgary, Calgary, AB, plenary speaker, Improving explicit approximations on prime counting functions.

• 2017
  Nov. 2017: Women Scholars Speaker Series, U. of Lethbridge, How did I become a Mathematician?
  Mar. 2017: Alberta Number Theory Days (ANTD IX), BIRS, Banff, AB, Explicit Results in prime number theory.  
  Jan. 2017: Algebra and Number Theory Seminar, U. of Mississippi, Oxford, MI, Explicit Results in prime number theory.
  Jan. 2017: Joint Mathematics Meeting, MAA Invited Paper Session on L-Functions and Other Animals, Atlanta, GA, New explicit zero density result for the Riemann Zeta Function and consequences for the primes.

• 2015
  Dec. 2015: Canadian Mathematical Society Winter 2015, Montréal, New bounds for psi(x;q,a).
  May 2015: Alberta Math Dialogue, Lethbridge, New bounds for psi(x;q,a).

• 2014
  Jan. 2014: Joint Mathematics Meeting, AMS Special Session in Analytic Number Theory, Baltimore, Explicit estimates for psi(x).

• 2012
  Dec. 2012: Canadian Mathematical Society Winter 2012 meeting, Montreal, New explicit bounds for a prime counting function.

• 2011
  Jun. 2011: Alberta Number Theory Days IV conference (ANTD IV), BIRS, Banff.
  May 2011: Analytic Aspects of L-functions and Applications to Number Theory conference,  U. of Calgary.
  Apr. 12, 19, 26, 2011: Groupe de travail Analyse harmonique et theorie analytique, Lille I, France.

• 2010
  May 2010: Groupe de travail Analyse harmonique et theorie analytique, Lille I, France.

• 2009
  Jul. 2009: Activites Additives et Analytiques Conference, Lille I, France.
  Jun. 2009: Fields Institute  Conference in Number Theory, Carleton University, Ottawa. 
  Apr. 2009: Math. Colloquium, U. of Calgary.

• 2008
  Nov. 2008: Women in Numbers workshop, BIRS, Banff.
  Oct. 2008: 2008 Fall Western Section Meeting, American Math. Society Meeting, UBC, Vancouver.
  Apr. 2008: PIMS/SFU/UBC Number Theory Seminar, Vancouver.

• 2007
  Feb. 2007: Math. and CS Colloquium, U. of Lethbridge
  Feb. 2007: Math. Colloquium, U. of Saskatchewan, Saskatoon.

• 2006
  Dec. 2006: Connecting Women in Mathematics across Canada conference, Fields Institute, Toronto.
  Jul. 2006: Math. Colloquium, U. of Ottawa.
  May 2006: Women in Mathematics Program ``Zeta functions all the way'', Institute of Advanced Studies, Princeton, USA.
  Jan. 2006: Quebec-Vermont Number Theory Seminar, Montreal. 

• 2005
  May 2005: Conference de theorie des nombres, U. Laval, Quebec.

• 2004
  Dec. 2004: Canadian Mathematical Society Winter 2004 Meeting, Montreal.
  May 2004: Illinois Number Theory Conference, U. of Illinois at Urbana-Champaign, USA.
  May 2004: Workshop on Spectral Theory and Automorphic Forms, Centre de Recherches Mathematiques, Montreal.

• 2003
  Dec. 2003: Number Theory Day Conference, Vancouver.
  Dec. 2003: Number Theory Day, Vancouver.
  Nov. 2003: Qu\'ebec-Vermont Number Theory Seminar, Montreal.
  Jan. 2003:  S\'eminaire Th\'eorie Analytique des Nombres, Institut Elie Cartan, Nancy, France.
  Jan. 2003: Seminaire d'Arithmetique, U. Jean Monnet, Saint-Etienne, France. 

• 2002
  Sep. 2002: Seminaire Theorie Algebrique des Nombres LACO, Limoges, France.
  Jan. 2002: Colloque Theorie des nombres et applications, Centre International de Rencontres Mathematiques, Marseille, France.

• 2001
  Oct. 2001: Seminaire Theorie Analytique des Nombres, Institut Henri Poincare, Paris, France.

• EDI Forum, CMS Winter meeting, online/SFU (Vancouver), Dec 3-7 2021, Organizing team.

• Workshop Alberta Number Theory Days, hybrid/BIRS (Banff), Nov 5-7, 2021, Organizing team.