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The following four have non-zero (but not large) overlap with your edit narrowing to algebraic geometry & topology.

(1) Brass, Peter, William OJ Moser, and János Pach. Research problems in discrete geometry. Springer Science & Business Media, 2005. (Springer link.)

 

(2) Guy, Richard. Unsolved problems in number theory. Vol. 1. Springer Science & Business Media, 2004. (Springer link.)

 

(3) Croft, Hallard T., Kenneth J. Falconer, and Richard K. Guy. Unsolved problems in geometry. (1991): 107-130. (Springer link.)

 

(4) Guy, Richard K., and Richard J. Nowakowski. "Unsolved problems in combinatorial games." More Games of No Chance, 42 (2002): 457-473. (Cambridge link.)

The following four have non-zero (but not large) overlap with your edit narrowing to algebraic geometry & topology.

(1) Brass, Peter, William OJ Moser, and János Pach. Research problems in discrete geometry. Springer Science & Business Media, 2005. (Springer link.)

 

(2) Guy, Richard. Unsolved problems in number theory. Vol. 1. Springer Science & Business Media, 2004. (Springer link.)

 

(3) Croft, Hallard T., Kenneth J. Falconer, and Richard K. Guy. Unsolved problems in geometry. (1991): 107-130. (Springer link.)

 

(4) Guy, Richard K., and Richard J. Nowakowski. "Unsolved problems in combinatorial games." More Games of No Chance, 42 (2002): 457-473. (Cambridge link.)

The following four have non-zero (but not large) overlap with your edit narrowing to algebraic geometry & topology.

(1) Brass, Peter, William OJ Moser, and János Pach. Research problems in discrete geometry. Springer Science & Business Media, 2005. (Springer link.)

(2) Guy, Richard. Unsolved problems in number theory. Vol. 1. Springer Science & Business Media, 2004. (Springer link.)

(3) Croft, Hallard T., Kenneth J. Falconer, and Richard K. Guy. Unsolved problems in geometry. (1991): 107-130. (Springer link.)

(4) Guy, Richard K., and Richard J. Nowakowski. "Unsolved problems in combinatorial games." More Games of No Chance, 42 (2002): 457-473. (Cambridge link.)

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Joseph O'Rourke
Joseph O'Rourke
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The following four have non-zero (but not large) overlap with your edit narrowing to algebraic geometry & topology.

(1) Brass, Peter, William OJ Moser, and János Pach. Research problems in discrete geometry. Springer Science & Business Media, 2005. (Springer link.)

(2) Guy, Richard. Unsolved problems in number theory. Vol. 1. Springer Science & Business Media, 2004. (Springer link.)

(3) Croft, Hallard T., Kenneth J. Falconer, and Richard K. Guy. Unsolved problems in geometry. (1991): 107-130. (Springer link.)

(4) Guy, Richard K., and Richard J. Nowakowski. "Unsolved problems in combinatorial games." More Games of No Chance, 42 (2002): 457-473. (Cambridge link.)