The Roman empire may not have much of a legacy in mathematics, though they did continue Greek traditions of philosophy and even had 'philosopher kings' [0], but they were very much leaders in engineering, and the legacy of Roman ingenuity is still alive today:
The influence of Roman roads can still be seen today [1], Roman concrete is still studied by modern material scientists for its properties [2], the Pantheon is still the largest concrete (only) dome in the world [3], and even the width of modern railroads can be traced back to Roman road standards [4]. That's not even mentioning aqueducts, some of which still stand today, that brought unknown levels of sanitary hygiene to cities at the time, or the fact that civil engineering wasn't even the main focus of Roman engineers (who were by and large associated with the military, often enabling the legions to beat impossible odds [5] and displaying a fairly modern understanding of the importance of logistics [6]). Like it or not, Rome was a STEM powerhouse, despite its lack of interest in 'pure' science or mathematics, and owed no small portion of its dominance to the prowess of its engineers.
The influence of Roman roads can still be seen today [1], Roman concrete is still studied by modern material scientists for its properties [2], the Pantheon is still the largest concrete (only) dome in the world [3], and even the width of modern railroads can be traced back to Roman road standards [4]. That's not even mentioning aqueducts, some of which still stand today, that brought unknown levels of sanitary hygiene to cities at the time, or the fact that civil engineering wasn't even the main focus of Roman engineers (who were by and large associated with the military, often enabling the legions to beat impossible odds [5] and displaying a fairly modern understanding of the importance of logistics [6]). Like it or not, Rome was a STEM powerhouse, despite its lack of interest in 'pure' science or mathematics, and owed no small portion of its dominance to the prowess of its engineers.
[0] https://en.wikipedia.org/wiki/Marcus_Aurelius#Writings
[1] https://bigthink.com/strange-maps/roman-roads-wealth-today/
[2] https://news.mit.edu/2023/roman-concrete-durability-lime-cas...
[3] https://en.wikipedia.org/wiki/Pantheon,_Rome#Structure
[4] https://www.snopes.com/fact-check/railroad-gauge-chariots/
[5] https://en.wikipedia.org/wiki/Battle_of_Alesia#Siege
[6] https://en.wikipedia.org/wiki/Fabian_strategy