En ünlü teoremlerinden bazıları:
- Banach-Alaoglu Teoremi,
- Bourbaki-Alaoğlu Teoremi
Makaleleri
- L. Alaoglu - G. Birkhoff : General Ergodic Theorems. Proc. Nat. Acad. Sci. USA 25(1939) 628-630
- L. Alaoglu, L. - G. Birkhoff : General Ergodic Theorems. Ann. of Math., II. Ser. 41(1940) 293-309
- Leon Alaoglu: Weak Topologies of Normed Linear Spaces. Ann. of Math., II. Ser. 41(1940) 252-267
- Leon Alaoglu - Paul Erdos : A Conjecture in Elementary Number Theory. Bull. Amer. Math. Soc. 50(1940) 881-882
- L. Alaoglu - Paul Erdos : On Highly Composite and Similar Numbers. Trans. Amer. Math. Soc. 56(1944) 448-469
- Leonidas Alaoglu - J. H. Giese : Uniform Isohedral Tori. Amer. Math. Monthly 53(1946) 14-17