People placed without any involvement from Dumas, PCD or Duffie at LSE (CB 2010) the fed board (FZ 2015) and Emory (CH 2017). Stipend should be irrelevant at this stage, differences are marginal. UNIL and EPFL are essentially integrated for all intends and purposes that matter to students. All the talk about easily placing in top 5 if you go there and work hard is BS  that's not even true for Harvard or MIT let alone a decent European program, and that's what EPFL/SFI is.
EPFL Finance

EPFL CHF 51k (https://phd.epfl.ch/salary)
UNIL CHF 45k (https://www.unil.ch/hec/en/home/menuinst/etudes/doctorates/phdineconomics/admissionssalary.html)
It is said that EPFL's stipend is lower than
EPFL is federal and UNIL is cantonal => EPFL salary > UNIL salary
nope

PhD student salary: UNIL>EPFL, https://www.unil.ch/srh/files/live/sites/srh/files/03_Infos_administratives/Bareme_assistants_doc_2016.pdf
EPFL CHF 51k (https://phd.epfl.ch/salary)
UNIL CHF 45k (https://www.unil.ch/hec/en/home/menuinst/etudes/doctorates/phdineconomics/admissionssalary.html)It is said that EPFL's stipend is lower than
EPFL is federal and UNIL is cantonal => EPFL salary > UNIL salary
nope

Are the first year prelims/courses at epfl very hard? Wondering if I should invest time in beefing up math during summer. Sadly they don’t have a math camp prior to starting phd courses. I don’t have much math background apart from advanced calculus, basic probability, and solving simple ODE’s. Would that be enough?

Are the first year prelims/courses at epfl very hard? Wondering if I should invest time in beefing up math during summer. Sadly they don’t have a math camp prior to starting phd courses. I don’t have much math background apart from advanced calculus, basic probability, and solving simple ODE’s. Would that be enough?
Asian or European bros？

Are the first year prelims/courses at epfl very hard? Wondering if I should invest time in beefing up math during summer. Sadly they don’t have a math camp prior to starting phd courses. I don’t have much math background apart from advanced calculus, basic probability, and solving simple ODE’s. Would that be enough?
Basic representation theory and Lie groups, algebraic topology (including poincare duality), algebraic geometry (including schemes and intersection theory), Riemannian geometry (characteristic classes would be helpful), PDE (elliptic regularity theory and calculus of variations), and functional analysis (including Von Neuman algebras)are a must. Some number theory such as automorphic forms and the basics of the Langlands program might help as well

Are the first year prelims/courses at epfl very hard? Wondering if I should invest time in beefing up math during summer. Sadly they don’t have a math camp prior to starting phd courses. I don’t have much math background apart from advanced calculus, basic probability, and solving simple ODE’s. Would that be enough?
Basic representation theory and Lie groups, algebraic topology (including poincare duality), algebraic geometry (including schemes and intersection theory), Riemannian geometry (characteristic classes would be helpful), PDE (elliptic regularity theory and calculus of variations), and functional analysis (including Von Neuman algebras)are a must. Some number theory such as automorphic forms and the basics of the Langlands program might help as well
You may make him quit right now.

Thanks but I’m not THAT gullible.
Are the first year prelims/courses at epfl very hard? Wondering if I should invest time in beefing up math during summer. Sadly they don’t have a math camp prior to starting phd courses. I don’t have much math background apart from advanced calculus, basic probability, and solving simple ODE’s. Would that be enough?
Basic representation theory and Lie groups, algebraic topology (including poincare duality), algebraic geometry (including schemes and intersection theory), Riemannian geometry (characteristic classes would be helpful), PDE (elliptic regularity theory and calculus of variations), and functional analysis (including Von Neuman algebras)are a must. Some number theory such as automorphic forms and the basics of the Langlands program might help as well

Euro. Why does it matter?
Are the first year prelims/courses at epfl very hard? Wondering if I should invest time in beefing up math during summer. Sadly they don’t have a math camp prior to starting phd courses. I don’t have much math background apart from advanced calculus, basic probability, and solving simple ODE’s. Would that be enough?
Asian or European bros？