January combinations

It is time for an article about combinations.
In the next period I will write some articles about different subjects such as strategy, opening preparation, attack and so on.
I shall explain my thoughts on examples from my own games, as I believe I do that the best.
In this rubric, about combinations, usually I do a mix between random combinations that I found interesting in different books or magazines, and the combinations from my own games.
This time I will show only the combinations from my own games.
Some of them are pretty old.

This is position from the introduction.
White is move, and he has some clear positional pluses.
Passer on e-file and firm control on the dark squares gives White upper hands.
Is it possible to finish of Black?
Yes it is, and it is your task to do so.

This position is from one of my recent games.
White is on move.
White has more than one interesting way to proceed in this position but one is clearly better than the rest.
The task is to find the sequence that leads to a draw.
Even if White can find some continuation that in theoretical terms can be draw, but for example with extra pawn for Black, it can not be the right answer.

This position was never reached on the board, as on check on d3 White moved his king on e1, but the question is, what would Black play if White defended against check as in the diagram (with Knight on e2).
So, Black is on move and your task is to find the winning combination.

This game was played in 2012 in Glasgow.
Black is on move, and with the right sequence he can get the decisive advantage.

This game was played in 2009 in Olomouc.
I was White and despite having more than one winning continuation, I found the most effective, which proved to be very beautiful too.
Calculate all variations, which includes all defencive resources by Black.